HW 12 - Launch Windows
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United States Air Force Academy *
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310
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Industrial Engineering
Date
Jan 9, 2024
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Name: ______________________________
Section: _______________
Fall
2023
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Astro 310 HW 12 – Launch Windows
DUE BEFORE CLASS on LESSON 18
AUTHORIZED RESOURCES
: In preparing for this assignment, you may receive help from
any person; however, you are required to turn in your own homework assignment. Additionally,
this assignment must be documented in accordance with the policies explained in the DFAS
Policy Letter.
Documentation:
Crew 6 launched to the ISS in February 2023 on a Falcon 9 rocket from Pad 39A at NASA’s
Kennedy Space Center in Florida.
Use the launch site and orbit information given below to
answer the questions.
Launch Site
Crew 5 Orbit
Latitude = 28.5 °N
a = 6797 km
Longitude = 80.6 °W
e = 0.0006
i
= 51.6°
Ω =
162°
1.
(
1 pt
) How many opportunities are there to launch directly into this orbit each day?
2.
(
2 pts
) Calculate the launch azimuth for BOTH the ascending node and descending node
opportunities.
3.
(
1 pt
) Kennedy Space Center has an allowable launch azimuth range of 35° to 120° for safety
purposes.
Which launch azimuth(s) is acceptable for this mission? Circle one.
ASCENDING NODE
DESCENDING NODE
BOTH
Ascending Node Azimuth
opportunities
Descending Node Azimuth
L
i
to
2
launch
opportunities
2
Sinr
cost
Cosi
Sin
1
5
541
44.975
BAN
8
44.9750
Bon
yo
y
135,02
44.9750
135.020
Name: ______________________________
Section: _______________
Fall
2023
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2
of
2
4.
(
3 pts
) Calculate the Launch Window Sidereal Time (LWST) for the ascending node
opportunity in BOTH hours and degrees.
5.
(
3 pts
) The current time at the launch site is 1000 hours in Local Sidereal Time.
Calculate
how long you have to wait (in hours) until the ascending node opportunity to launch.
degrees
hours
hours
LW
STAN
rt
S
162
25.48894
187.488940
I
187.48894
1hr
150
12.499hr
187.48899
8
cos
IF
us
cos
1
4765
25.48894
12.499
Wait
an
WOTAN
LST
12.499
10 2.499
2
5
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