EFLIGHT 2015 – 20 March 2015 Total Solar Eclipse

An Amazing Flight into The Darkness of the Lunar Umbral Shadow
From the Pristine, Dark, Cloud-Free Free Skies > 37,000 feet AMSL

Dr. Glenn Schneider
Astronomer and EXCEDE Project Principal Investigator
Steward Observatory and the Department of Astronomy
933 North Cherry Avenue
The University of Arizona
Tucson, Arizona 85721 USA
Telephone: 520-621-5865
email: gschneider@as.arizona,edu
URL: http://nicmosis.as.arizona.edu:8000

~ 3m 45s ± ~ 10s of prolonged Greatest-Eclipse Totality @ 63.4° N Latitude



Launched from Dusseldorf, Germany to the point of "Maximum Eclipse"

A COLLABORATIVE ADVENTURE OFFERED BY:
 Dr. Glenn Schneider
(Steward Observatory, University of Arizona)
Eclipse Flight Technical Planning/Implementation
Airberlin Airlines
Aircraft Provider
Aircraft Operator

Deutsche Polarflug / AirEvents, Ltd.
Air Charter
Flight Logistical Arrangements

TravelQuest International
--> CONTACT for <--
Flight Bookings




TOP 10 REASONS FOR A HIGH LATITUDE STRATOSPHERIC TSE 2015 ECLIPSE FLIGHT
DEPLOYMENT/RELOCATION FLEXIBILITY
To Find the BEST Spot(s) in the Area of Operations for Observing
CLOUD OBSCURATION AVOIDANCE
High Latitude Stratosphere Stratosphere: 99.99% -- Virtually Assured
TOTALITY PROLONGATION FOR MAXIMUM ECLIPSE
Aircraft Speed Extends the Duration of Totality
SKY TRANSPARENCY
Significantly Improved -- Low Particulate Scattering
SKY DARKNESS
Much Higher Contrast Coronal Visibility and to Larger Circumsolar Distance
IMPROVED ASTRONOMICAL SEEING
"r_naugh" Decreases with Increasing Altitude
REDUCED ATMOSPHERIC TURBIDITY
Vorticity & Sheer Decline in Power Above Tropopause
PANCHROMATIC VISIBILITY
IR and UV "Windows" Open Up or are Extended
UNPARALLELED HORIZON  REACH & OBSERVATION VISTA
Apparent horizon 377 km distant, depressed 3.4° (at 37,000 ft)
ESTHETIC, ETHEREAL EXPERIENCE
There is nothing quite like it...





THE TSE 2015 PATH OF TOTALITY

A truly remarkable, but geographically remote, total solar eclipse (TSE) will occur on 20 March 2015 with the Sun on the celestial equator at the vernal equinox, as the Moon's umbral shadow traverses a narrow path for 1 hour and 5 minutes over the North Atlantic and Arctic Oceans, spectacularly ending with a blackened sunrise at the geographic North Pole. The path of totality, the region on the Earth's surface where the Sun will be totally obscured by the Moon, begins at sunrise over the cold waters of the north Atlantic Ocean 650 km east of Newfoundland where the eclipse centerline then at 09:13 UT is 600 km is south of the southern tip of Greenland.  The path then sweeps north eastward passing, but missing, the east coast of Iceland in route, literally, to the "top" of the world at the North geographic pole.


The TSE 2015 path of totality (left: blue arc, right: gray arc) with our planned point of "to the max" mid-eclipse intercept indicated (red markers).
(Maps: left - adapted from Espenak and Meeus 2006, 5MCSE; right - adapted from HMNO)


TSE 2015 finds landfall only on two north Atlantic island locations. The first, to the south-east of the centerline of the path of totality, on the Faroe Islands (latitude 62° N) where the Sun will fall into total eclipse for a maximum duration of off-centerline totality of 2m 25s on the western side of the tiny island of Mykines. The second, as the centerline of the path of totality traverses Svalbard/Spitzbergen (latitude ~ 79° N) giving rise to a nearly equal maximum on-the-ground duration of on-centerline totality 2m 26s from the island's north coast.  Both island locations, while wonderful locations to visit and explore, are very likely contra-indicated as eclipse viewing sites in mid-March due to the strong prevalence of clouds and precipitation (e.g., see here and here) with high probabilities of obscuration with the Sun at low elevation angles above the local horizons. Some eclipse chasers will undoubtedly make the attempt, and we wish them great luck – but the virtually-assured solution for TSE 2015 observers is to take to the skies above the prevailing weather. 

The point of greatest eclipse,
250 km north of the Faroe Islands in the Norwegian Sea between Iceland and Norway, is where the Moon's shadow is very nearly simultaneously moving most slowly across the Earth and the duration of totality is at a maximum anywhere along the path of totality (2m 47s).  Further north, after passing over Svalbard/Spitzbergen, the Moon's shadow streaks northward to the geographic North Pole where at 10:17 UT with (from sea-level) the horizon bifurcating the fully-eclipsed Sun as it very slowly rises and the Pole is plunged into a prolonged total eclipse induced twilight for 1m 55s. 



EFLIGHT 2015 MAX ... TO THE MAX!

The ideal location on Earth for eclipse-chasers to observe TSE 2015 would be at (or very close to) at the point of greatest eclipse
, if the twin, daunting, concerns of weather (high probability of cloud cover) and lack-of-accessibility (in the frigid waters off the east coast of Iceland) could be overcome.  Our now-planned TSE 2015 eclipse observation flight, "EFLIGHT 2015 MAX" removes these dual obstacles, and this rare opportunity is now enabled for high-flying umbraphiles.

For TSE 2015 we have planned a spectacular airborne eclipse expedition to simultaneously satisfy the goals and objectives of umbraphiles called by the siren's song of "duration, duration, duration" while obviating concerns of very high-probability cloudy weather miles below on the Earth's surface.  EFLIGHT 2015 MAX will stretch the duration of totality to ~ 3m 45s, with our aircraft immersed centrally in the lunar umbra at mid-eclipse from a sky-high venue > 11 km above the surface of the Earth.  EFLIGHT 2015 MAX will launch from Dusseldorf, Germany with optimal eclipse viewing as the driving requirement for defining all details of the flight plan of our Air Berlin Boeing 737-800 aircraft.  During totality, the eclipsed Sun will be positioned "straight out" the main cabin passenger windows for optimum viewing of the corona enshrouded Sun and umbral shadow on the sea/ice below and eclipse-darkened sky above from an altitude of > 37,000 ft AMSL where we will be above any obscuring clouds and otherwise disturbing weather below.

Viewing a total solar eclipse, and the sweep of the Moon's umbral shadow as it races across (and above) the Earth, as seen from such a lofty height as enabled by our EFLIGHT aircraft, is magnificent beyond description.  As seen from 37,000 feet above the surface of the Earth, the apparent horizon is 377 km (234 miles) away and depressed by 3.4° compared to sea level.  Looking along the apex of the lunar umbral cone toward the eclipsed Sun at mid-totality, or along its outer periphery as the shadow sweeps over the aircraft coincident with the instants of second or third contacts, the curvature and grandeur of the umbral shadow boundary (i.e., the "shadow ellipse") is stunningly apparent. See HERE for a graphic illustration of the Sky at Totality and the movement of the umbral shadow on the Earth. At near-polar latitudes in mid-March, the high reflectivity of the polar ice and/or cloud tops far below accentuates the stark contrast between the eclipse-darkened regions within umbral shadow, and those illuminated by the Sun beyond the shadow's edge. Being above more than 3/4 of the Earth's atmosphere, the corona of the Sun is presented with contrast and clarity in the rarefied air incomparable to ground-based venues at the bottom of a bubbling pool of atmospheric turbulence.  See below, shadow and corona photos taken from our predecessor TSE 2008 flight; similarly executed over the Arctic Ocean.


Stunning stratospheric views (and photographs) of the 01 August 2008 Total Solar Eclipse, at 82° N latitude, 11 km above the Arctic Ocean, were uniquely obtained on board our then-chartered AirBerlin (LTU) A330-200 EFLIGHT 2008 aircraft (above by Dan McGlaun, Bill Kraemer, Glenn Schneider).  In planning EFLIGHT 2015 MAX we drew significantly in detail upon the successes of this historical predecessor implemented also in partnership with AirEvents/Deutsche Polarflug under the experienced guidance and technical leadership of Dr. Glenn Schneider (Steward Observatory, The University of Arizona) and in collaboration with TraveQuest International.


EFLIGHT 2015 MAX will be aboard an Air Berlin provided and operated Boeing 737-800, eclipse-suitable, narrow-body jet aircraft, providing the best and most cost-effective viewing-window to seat-count ratio, to be used to centrally intercept the Moon's shadow at a point within ± 1/20th second of the duration of the greatest (globally maximum) eclipse at (nominally) 37,000 AMSL.

With an at-altitude mid-eclipse occurring at 09h 43m 30s UTC, the duration of totality will be stretched to approximately 3m 45*s ± 10s, a minute longer than would be possible from a hypothetical Ocean-going vessel 11 km below, and appx. a minute and a half longer than will be seen from the Faroe Islands (should clouds below us cooperate for ground-based observers located there). 
*Duration with with no wind at Mach 0.78 (@ 37,000 ft), so a nominal ground speed of 447.4 nm/h.


Schematic Representation of the End-to-End Flight Plan
exclusive of planned contingency maneuvering to mitigate risks of ground or outbound cruise delays.

With a planning-baseline max-eclipse intercept point of (63.39154
° N, 7.56084° W; see below "Why This Location?"), the fully-eclipsed Sun will stand 18.8° above the astronomical horizon (22.2° above the apparent horizon) allowing very easy and comfortable viewing out the aircraft sun (right) side passenger cabin windows, individually or shared with a window-viewing partner.

For those who want the maximum possible duration of totality EFLIGHT 2015 MAX, this appx 5 hour round-trip flight, is it!





THE "WEATHER" (acuna matata)

At |latitudes| > 60°, such as our MAX point of mid-eclipse intercept, the tropopausal boundary between the troposphere below (where "weather occurs") and the stratosphere has typical equinoctial heights of < 9–10 km. Polar stratospheric (nacrecous) clouds are extremely rare and only form at very low temperatures (< -78° C) during the deep polar winter, making the probability of cloud-free eclipse viewing nearly 100% at our equinoctial flight altitude of 37,000 ft (~11.3 km) at our chosen observing location.  Of course, we will have flexibility for in situ retargeting (with a small trade in totality duration) of our viewing locations if that is required for any reason, however unlikely. 

At this altitude and latitude, aerosol scattering of sunlight by airborne particulates is usually extremely low, giving rise to an exceptionally dark sky during totality, enabling eclipse viewing with significantly enhanced image contrasts. Moreover, the airmass along the line-of-sight to the Sun is significantly reduced (by ~ 75% compared to sea level), resulting in exceptional sky transparency, greatly reduced atmospheric turbidity, and better astronomical "seeing". 

At 63° N, east of Iceland, the possibility of high-altitude volcanic ash originating in Iceland while statistically small is non-zero.  Thus, for further (but intrinsically very-low) risk mitigation, we have designed our EFLIGHT 2015 MAX plan with sufficient flexibility to reach higher latitudes (with somewhat reduced maximum duration of totality) where such particulates are very unlikely to be transported given normal sub-polar wind circulation patterns.



THE AIRCRAFT and ON-BOARD ECLIPSE-VIEWING

We will be using an Air Berlin Boeing B737-800 (aka "738") aircraft, normally used for more "conventional" commercial service, from the Air Berlin fleet, with all economy class seating throughout the entire cabin as shown schematically below.


Sun-side eclipse-viewing windows ONLY will be openly offered for no more than 27 seating rows on the aircraft (first come first serve).  Sun-side eclipse-viewing windows may (later on booking) be reserved for individual exclusive use, or shared with an adjacent seat-mate partner with a per-person pricing plan (details available from TravelQuest Tours)

The passenger cabin windows on the right side of the aircraft will be used for eclipse viewing and photography. Seat offerings, and on-board operations during the eclipse-viewing phase of the flight, have been designed to provide an optimal eclipse observing experience.  All rows offer at least one window suitable for eclipse viewing* with those numbered in green as annotated on the figure below fully unobscured with seat backs in upright positions.  (*Row 11 with one window, and Row 13 with two, have window edges marginally obscured as shown).

The locations of the windows on the cabin wall with respect to each of the passenger seat rows are illustrated in the figure below.  To maximize the utility of all windows accessible to any seat row without interference to adjacent rows, seat backs in some specific rows may be tilted backwards to provide partial to full access to the window nearest the adjacent passenger seat (those identified in light blue) without compromising the useful window(s) in the seat row behind.


EFLIGHT 2105 MAX seat rows and their windows.
Further utility of the windows identified in light blue (only) can be gained by their exposure by seat back reclining.


Additional photographs, by row number, of the seat/window configurations, may be seen in photos --> 
HERE.



WINDOW METROLOGY

Flight participants can individually, or as partners sharing a seat-row, assess their needs for using their seat-row window(s) as a viewing and/or photography portal.  All windows are rectangular in shape, 25 cm (9.8" wide) by 34 cm (13.4") high, with rounded corners imposed by the cabin wall framing -- see pictures below.  The center of the windows are 94 cm (37") from the main cabin floor.  The inter-window spacing (cadence) is 50 cm (19.7") for all windows except for a "missing" window between rows 11 and 12 (see photos above), and w.r.t. the windows in the emergency row doors (rows 14 and 15; whose window shade tabs protrude from the bottom rather than the top).




ABOUT THE AIRCRAFT WING AND OUTBOARD (VERTICAL) WINGLET






EFLIGHT 2015 OPERATIONS AND LOGISTICS

(1) Early Preparations: Detailed photographs and measurements of all seat rows and windows will be made available to eclipse viewers far ahead of the flight, to allow informed preparations by photographers, those using optical aides, and or planning window-sharing with a seat-row partner (see above).

(2) At Dusseldorf International Airport:  our flight will be given first priority by Air Berlin's handling, ground operations, flight planning and in-flight will also be communicated as priority 1 towards Air Traffic Control and for inter-flight coordination.

(3) Our Outbound Flight Plan: is baselined for a 45 minute earlier than critically required take-off time, providing built-in contingency time against the possibility of a take-off delay or strongly unfavorable outbound head-winds.

(4) Windows Quality/Frost Risk Mitigation: The specific Air Berlin B737-800 we will use will be one of the very newest in their aircraft fleet with very fresh windows with minimal scratches or sleeks that could otherwise act as frost-formation centers.  Cabin air will be pre-conditioned to reduce the potential and minimize the (unlikely) risk of frosting, and the aircraft will then remain at high altitude prior to totality (no descents for "flightseeing") to keep the relative humidity on potential frost-forming surfaces low. Additionally, not all available seat-rows with eclipse viewing windows will be offered to keep several in reserve for viewing position exchange, in the unlikely event of individual anomalous window frosting elsewhere in the aircraft.

(5) No Extraneous Passengers: This is a dedicated eclipse-viewing flight.  No seats will be offered on the anti-sun side of the aircraft for others to "fill" the aircraft.  No potential over-crowding, no unintentional interference or distractions during the totality run to eclipse-viewers.

(6) During the Totality Run: Eclipse observing will be conducted without any intra-eclipse "seat swapping/rotation" of positions with excess passengers (obviated by (5)) otherwise disturbing/interfering with same, or adjacent row eclipse-viewers.  This "exclusive" or pre-planned partner-shared use only of the windows will enable an atmosphere much more conducive to concentrated and uninterrupted eclipse viewing.

(7) Throughout All Flight Planning and in situ until CIII on the Aircraft: Dr. Glenn Schneider will act actively as the consulting expert with the mission planners and flight crew to assure the smooth execution of the totality run and mid-eclipse intercept per the baseline plan and in response to any in-flight deviations.

(8)  Post-Totality: Upgraded catering and celebratory imbibement after collecting solar coronal photons to revel in our successes.




EFLIGHT 2015 MID-ECLIPSE (ME) INTERCEPT FOR MAXIMUM DURATION

BASELINE PLANNING ASSUMPTIONS:
Flight Level = FL 37,000 ft
No Wind, TAS = Ground Speed = Mach 0.78 @ FL 37,000 ft
Delta-T: 67.8 seconds (current IERS prediction for March 2015)
Geodetic Coordinate Reference Frame: WGS84

KEY FLIGHT/INTERCEPT PARAMETERS:
AIRCRAFT                         B737-800       
PROFILE CONCEPT                  LONGEST DURATION 
LAUNCH POINT (LP)                DUSSELDORF INT. AIRPORT
DESIGNATION                      DUS (EDDL)
LAUNCH POINT LOCATION            51.28944° N, 6.76666° E
OUTBOUND CONTINGENCY "BUFFER"    45 minutes

FLIGHT LEVEL                     37,000 ft (11,278 m) AMSL
MID-ECLIPSE (ME) INTERCEPT  [a]  63.39 154° N, 7.56084° W
UTC ME INTERCEPT                 09:43:30 UTC
G.C. DISTANCE FROM LP to ME      859.69 nm 

BASELINE TAS = GROUND SPEED [b]  447.4 kts (Mach 0.78)
GROUND TRACK AZIMUTH @ ME   [c]  43.3° 
DURATION OF TOTALITY        [d]  3m 45.1s

ME SOLAR ALTITUDE ANGLE     [e]  18.8°           
ME SOLAR AZIMUTH ANGLE           133.3°     
SURFACE-OBSERVER DURATION        02m 46.8s

TOTALITY RUN TIMESPAN       [f]  -9, +6 minutes

BASELINE TOTALITY RUN:
TR-START TIME UTC                 09:34:30 UTC
TR-START LOCATION                 60.15964° N, 13.62041° W

TR-ME INTERCEPT UTC               09:43:30 UTC
TR-ME LOCATION                    63.39154° N, 7.56084° W

TR-END TIME UTC                   09:49:30 UTC
TR-END LOCATION                   65.77103° N, 3.64945° W
  NOTES:

  [a] For initial baseline planning a "no wind" condition is assumed.  So,
      GROUND SPEED (GS) = TRUE AIR SPEED (TAS). This is tunable with predicted winds aloft.
      
  [b] LONGEST DURATION ME remains constant +/- 0.05 seconds over an an on-centerline
      distance of 45.78 nm starting at the location indicated for baseline ME as follows:

      UTC Intercept  Duration  Intercept Location     GC to ME
      09:43:30.0     3m 45.1s  63.39154°N, 7.56084°W   859.69 nm <ME START
      09:44:18.0     3m 45.1s  63.69695°N, 7.03965°W   865.60 nm <ME CENTRAL
      09:45:05.0     3m 45.1s  63.99930°N, 6.53004°W   872.35 nm <ME EXIT

      ME START selected for baseline intercept within this window to reduce total flight
      distance from Dusseldorf without impact on maximum possible duration of totality.

  [c] Aircraft Ground Track to orient sun at ME orthogonal to ("straight out")
      the sun (right) side PAX windows.  Heading tunable based on actual winds aloft.
      Ground track (with winds aloft) should be maintained.

  [d] As corrected for topocentric lunar limb profile (complete photospheric extinction).

  [e] Above the astronomical (true) horizon.

  [f] Totality-Run Timespan: Centered on UTC of ME. 
     
      • Totality Run Start (TR-START) at indicated UTC/LOCATION to commence
        at UTC of ME minus 9 minutes.

      • Aircraft MUST then be at this location and flying straight-and-level on
        indicated course to TR-END.

      • Totality Run End (TR-End) at indicated UTC/LOCATION to end at UTC of
        ME minus 6 minutes.

      • Post C3, TR may be extended beyond TR-END at pilot's discretion.



WHY THIS LOCATION?

The track, geometry, and location of the path of totality, and the time-correlated UTCs of key eclipse events (e.g., start, end, and middle of totality) that ultimately constrain an end-to-end eclipse-observation flight plan, as seen from a moving aircraft, will depend in detail on the aircraft altitude above mean sea level and its velocity vector (ground speed and direction) as modified by winds aloft.  Baseline (Phase 1) eclipse-flight planning (as discussed and presented here) makes assumptions for later (Phase 2) optimization and refinement within constrained margins with dependencies on in situ conditions that may be parametrized in final computations. A baseline flight plan is developed to provide a framework to be refined for an executable flight mission subject to refinements and constraints levied by aircraft performance and operations factors.  Phase 2 "fine tuning" of the flight plan (e.g., in light of statistically anticipated and actual winds aloft) is later expected.



Eclipse circumstances are dependent upon observer's height  above mean sea level (AMSL). The time-correlated position (centerline track) of the Moon's shadow shifts in latitude and longitude with topocentric altitude AMSL. This is illustrated by example for TSE 2015 with the difference in centerline topographic coordinates at 37,000 ft compared to sea level.
The speed of the Moon's shadow projected on the surface of the Earth varies significantly along the path of totality.  Where slowest, the duration of totality is near maximum.  The shadow speed can advantageously be reduced, prolonging totality, with an aircraft moving in the direction of the lunar velocity vector.

For EFLIGHT 2015 baseline planning purposes, here we adopt  a flight altitude for the eclipse-observing phase of the flight (and nominal out/inbound cruise phases) of 37,000 ft AMSL. Here (for initial planning), a no-wind condition is assumed and a TAS of Mach 0.78 (i.e., ground speed equals airspeed) during at-altitude cruise.  We designate a "Totality Run" as that portion of the flight devoted to the observation of the total phase of the eclipse. The Totality Run is planned so the aircraft has assumed straight-and-level flight (nominally) at constant speed at and throughout the totality and during pre/post flanking intervals closely prior to and after totality. 

The point (time correlated location and UTC) of "mid eclipse" (ME) intercept is the instant at which the aircraft is concentrically located in the Moon's umbral shadow.  The totality run is planned so the aircraft heading is the solar azimuth at ME minus 90 degrees, so the Sun will present itself "straight out" the sun-side passenger windows.  This is the right (starboard) side of the aircraft, so enabling an aircraft velocity vector component in (not against) the velocity vector of the Moon's shadow with a resulting increase in the duration of totality as seen from the moving aircraft.

In practice, small compensating adjustments to the derived totality run (and pre-totality run flight plan) based upon:

(a) TBD (Phase 2) statistically most-likely, and/or in situ actual winds-aloft,
(b) different (faster is better for longer totality) TAS during the totality run within operating limits, and
(c) different (higher is better for sky clarity) flight level to the limit of the service ceiling with trade of achievable ground speed. 

Such parametrically defined variations to the baseline flight plan, subject to aircraft operational and performance constraints, will be reviewed and discussed with the aircraft flight operations and planning personnel, and are readily (re)-computatble as needed. (See here an overview of the EFLIGHT planning S/W [20 MB PDF file], developed and used by G. Schneider for many prior successful EFLIGHTs.

The baseline flight plan presented here is of sufficient fidelity for the (presumed nominal) parametric conditions assumed that, if rigorously followed, will successfully result in a highly viewing-optimized and geometrically precise time-correlated mid-eclipse intercept with the aircraft concentrically located along the apex of the lunar umbral shadow cone.

N.B.: All timings and correlated locations, and maps presented here are (in detail) valid ONLY for the specific set of baseline assumptions used here.  Later recomputation of the eclipse observation plan (and thus to a small degree end-to-end) flight plan, based upon parameterization a-c above, is expected and anticipated.

The totality run (TR) is entered (nominally) at the completion of a heading re-alignment maneuver (with a constant-radius turn onto the TR track) at the requisite UTC, location, altitude, TAS, and heading.  Once on the TR track, before the start of totality (C2 = "second contact"), small adjustments to the aircraft speed may be made to compensate for winds-aloft or turn-exit navigation errors to maintain the desired mid-eclipse flight profile.

N.B.: The specific pointg of mid-eclipse intercept results in a totality duration appx 0.05s (insignificantly) shorter than the absolute theoretical maximum (for this set of flight parameters) for this eclipse.  This was arrived at from a cost/benefit trade to reduce the overall flight distance R/T from Dusseldorf while retaining in-flight contingency margins,




BASELINE EFLIGHT and ECLIPSE-OBSERVATION ("Totality Run") PLANNING

The detailed definition of the EFLIGHT 2015 MAX baseline flight plan was developed to optimize the observing opportunity while minimizing to near-zero risks that are otherwise high-probability at ground-based locations. The nominal (baseline) flight plan is built around an eclipse-viewing "totality run" (TR) constrained by celestial mechanics, aircraft operational considerations, and a need to maintain in situ flexibility to implement contingency alternatives.  For baseline planning and logistical purposes we build from: (1) a flight altitude for eclipse-viewing of 37,000 feet AMSL, with (2) a ground speed of 447.4 nm/hr and (3) no wind (so ground speed = air speed, and heading = course).  Detailed pre-eclipse flight planning, and in-flight execution, will incorporate and allow for the full range of possible flight levels, air speeds, and wind-vectors that may be encountered in flight to re-optimize the totality runs in situ as may be necessary or desired.

We define the baseline totality run such that the aircraft is centrally located at the apex of the lunar umbral shadow (but corrected for the irregular lunar-limb profile) at the topocentric instants of "maximum eclipse" at the chosen intercept point.  We also define the baseline totality run so that the aircraft velocity vector at mid-eclipse places the Sun "straight out" the right-side windows of the aircraft passenger cabin to provide optimum out-the-window viewing and utilization.  This
orientation also provides an optimal orientation to prolong the duration of totality to a theoretical maximum anywhere along the path of totality by using the aircraft's speed to (partially) keep pace with the lunar shadow.  With these constraints, we compute, and tabulate below, three key time correlated waypoints for the totality runs that define the lunar shadow intercept and crossing by the aircraft designated C2 (eclipse contact II), MAX (corresponding to the UTC instant of maximum eclipse), and C3 (eclipse contact III).  MAX, in both UTC and lat/long, will depend upon the aircraft altitude AMSL.  C2 and C3 will also depend upon the aircraft ground speed and track (i.e., airspeed and winds aloft). 

The (earlier) start of the pre-totality leg of the totality run is be defined by a pre-totality time-correlated waypoint nine minutes before mid-eclipse. The aircraft is initially positioned on the MAX-eclipse intercept track at the requisite course/heading, distance, and flight-time from the intercept point allowing for airspeed adjustment in the run up to the C2 time-correlated waypoint to compensate for deviations due to actual (vs. predicted) winds aloft (holding the MAX intercept time-correlated waypoint invariant).  After C3 the aircraft will remain on the MAX-to-C3 heading for 6 minutes following mid-eclipse to allow viewing of the recession of the Moon's shadow before returning back to Dusseldorf.




End-to-End BASELINE FLIGHT PLAN

TIME-CORRELATED WAYPOINTS and ECLIPSE CIRCUMSTANCES FOR EFLIGHT 2015 MAX
Flight scenario: FL 370, Mach 0.78 (TAS 447.4 nm/hr).  No statistical winds assumed.
(Details Subject to Change)
##
FLIGHT PLAN PHASE/DESCRIPTION
U.T.
Long.
Lat.
Bearing°
Dist dist(nm)
Leg time
Alt° Az°
01
NOMINAL Wheels-Up Dusseldorf
06:51:07
6.76666° E  51.28944° N 328.3
0.0



02
ASCENT: Est. Climb to FL 370 (TBD)




156.0
24m 00s


03
START OUTBOUND CRUISE
07:15:31
4.48331° E
53.47821° N 326.5




04
   Outbound Cruise




690.7
1h  32m  38s


05
   Contingency Buffer Start
08:48:09  
At pilot's discretion / direction in
response to in situ conditions

 
45m



06
   Contingency Buffer End
09:33:09


07
END OUTBOUND CRUISE and START
PRE-TR CONSTANT RADIUS TURN
 
09:33:09
 
9.20690° W
 
62.42545° N





08
86.6° Constant Radius Right Turn Center 
TBD: 25° bank, 1.35 min, Rad: 6.4 nm


9.04412°W

62.50048° N


9.7

1m 21s


09
Totality Run Start (ME - 9 min) - Mach 0.78
09:34:30 9.21557° W 62.57147° N 41.8

17.9
129.2
10
     WANING SOLAR CRESCENT VIEWING



  52.7
7m 05s


11
2nd Contact (C2)
09:41:35
7.92106° W 63.21854° N 43.0


18.6
132.4
12
     TOTALITY




14.3
1m 55s


13
          Mid-Eclipse (Umbral Axis Intercept)
09:43:30
7.56084° W 63.39154° N
43.3


18.7 133.3
14
     TOTALITY




13.8
1m 51s


15
3rd Contact (C3)
09:45:21
7.20902° W 63.55765° N 43.6


18.9
134.2
16
     WAXING SOLAR CRESCENT VIEWING




30.9
04m 09s


17
Totality Run End (ME + 6 min) 09:49:30 6.40478° W 63.92706° N 44.7

19.2 136.1
18
100.2° Constant Radius  Right Turn Center
TBD: 25° bank, 1.56 min, Rad: 6.4 nm


 
6.23351° W

63.85217° N


11.2

1m 34s


19
START INBOUND CRUISE
09:51:04
6.03594° W
63.91317° N





20
   Inbound Cruise



145.8
710.7
1h 35m 18s


21
End Inbound Cruise and Start Descent
11:26:22
5.110876° E 53.57091° N




22
DESCENT from FL 370




150.0
24m 00s


23
Wheels-Down Dusseldorf
11:50:22
6.76666° E  51.28944° N 155.4















TOTAL TIME and DISTANCE




1840.0
4h 59m 15s


Notes:   (1) Totality run to place the Sun "straight out" the main cabin windows at mid-eclipse.
             (2) No statistical (i.e., anticipated seasonal average) wind vectors have been (yet) been assumed.
             (3) Constant radius turns onto/off the TR track assume a bank angle (and thus derived turn radius/duration) of 25°
             (4) Ascent and Descent profiled durations and ground-track distances are to-be-verified
             (5) Geodetic co-ordinate reference frame is WGS84
             (6) Delta-T: 67.8 seconds (Current IERS derived prediction for March 2015)



END-TO-END FLIGHT

The end-to-end (wheels up to wheels down) flight planning  seamlessly merges into the immutable (but tunable based on actual flight conditions) Totality Run.  Most critical is entering the pre-planned Totality Run exactly as specified with minimal error.  Any "delay" and the Moon's shadow will pass over the location where the aircraft should have been and totality will be missed.  This MUST, and will be, be avoided.

(1) Take-off.  To mitigate against the operational possibilities "time-critical" take-off delay from DUS for any reason, an earlier than time-critical wheels-up time  for a central intercept at the chosen mid-eclipse intercept point is planned. This is 45 minutes.  See item (4) below on "Buffer" time.

(2) Ascent (and Descent).  This phase of the flight must be defined in detail by the aircraft flight planners.  For Phase 1 planning an estimated climb to FL 370 consuming 24 minutes of time and covering 156 nm (ground track), and descent over 150 nm in 24 minutes.

(3)  Cruise and Totality Run Speeds.  An "most economical" TAS cruise speed of Mach 0.78 is suggested (and used) for initial planning. This, importantly, provides some leverage to invoke higher or lower cruise speeds (within performance limits) to allow mitigation against unfavorable head or tail winds that would otherwise result in a too-early or too-late arrival at the TR start point, or during time/position decorrelation during the TR itself.  Performance options that may be invoked are to be discussed with the flight crew and operations planners.

(4) Buffer Time.  In the event of an on-schedule (prudently planned) earlier than time-critical, takeoff , this "extra" (i.e., "buffer") time programmed into the flight plan to otherwise compensate for a delay must be consumed by either  maneuvering enroute, and/or flying at a slower TAS to the time-critical TR start point.  This is a detail of the flight planning that will necessarily worked in concert with the flight crew and flight planners (given airspace and other operational constraints) at a later date closer to eclipse time.  A placeholder for this outbound navigational contingency "buffer" is stipulated in the end-to-end plan, and implementation details will be worked later in Phase 2 planning with the pilot in command and flight planners.



CONTINGENCY MITIGATION FOR DELAYED TAKE-OFF
AND/OR UNFAVORABLE WINDS ALOFT

The baseline end-to-end flight plans are designed to allow for delays in reaching their time-invarient totality-run start points, beyond those that can be accommodated by the adjustment range of the aircraft speed, by up to 45 minutes.  The NOMINAL baseline plan defines an earlier than critical wheels-up take-off time from Dusseldorf [00]. Margin is provided to accommodate for such delays with a pre-allocated contingency in-flight maneuvering "buffer" of variable duration [05-06] of up to 45 minutes after reaching outbound cruise [03] prior to a UTC-correlated entry onto the totality run [09].  The specific maneuvering required to consume this buffer will depend upon the actual take-off time.   Two generic scenarios are suggested here, but left to the discretion of the pilot in command with a requirement to re-merge onto the nominal flight plan at item [09] for the start of the time-critical totality run:

(1) (Conceptually)  flying "zig-zags" traversing the outbound cruise leg.  This provides maximum flexibility against  an arbitrarily long take-off delay without the necessity of retargeting for a different (less optimal) mid-eclipse intercept point within reachable limits.

(2) Repositioning the heading re-alignment maneuver following the outbound cruise phase to a point earlier time, and thus to a location to the south-east of the totality run start point.  I.e., establishing earlier a straight-and-level approach to totality run start point and effectively extending the pre-totality portion of the totality run.  This presents a "lower risk" of navigation error by placing the aircraft in situ within the path of totality for a longer duration before totality begins.  Pre-planned contingency, and/or in situ, repositioning will be aided and enabled through the use of G. Schneider's EFLIGHT eclipse flight optimization and navigation software.



INTERESTED?  QUESTIONS ON TECHNICAL/OPERATIONAL/LOGISTICAL DETAILS?

Contact:  Dr. GLENN SCHNEIDER at gschneider@mac.com

Who is Glenn Schneider?  SEE HERE (eclipse context).  SEE HERE (astronomical context).

Please note, I myself am an astronomer, and I am not in (nor do I intend to be) in the aviation, or tour business.  Here, for EFLIGHT 2015, as for all previous EFLIGHTS I have motivated and designed, I serve to facilitate the enabling, technical planning, implementation and execution.  I am happy to take any technical, operational, or logistical questions regarding this flight. Questions about, or requests for, flight bookings should be directed to TravelQuest International (1-800-830-1998 toll free in the USA or +1 928 445 7742 elsewhere).




UPDATES, CONTACT, AND ADDITIONAL INFORMATION

I will endeavor to keep all who are interested appraised of any/all new developments through this web page as the EFLIGHT 2015 MAX implementation plan is further matured in collaboration with the Air Berlin flight planning/operations groups and our flight crew.  Please check back again at this page's URL.  Additional links will later be provided as appropriate/necessary.  I can be contacted by my email address gschneider@mac.com, with also the additional/alternate contact information:

Dr. Glenn Schneider
Astronomer and EXCEDE Project Principal Investigator
(Member: IAU Div. 2 Working Group on Solar Eclipses)
Steward Observatory and the Department of Astronomy
933 N. Cherry Avenue
The University of Arizona
Tucson, Arizona 85721 USA
email: gschneider@as.arizona.edu
Telephone: 520-621-5865
URL: http://nicmosis.as.arizona.edu:8000


last update: 14 September 2013