EoM via Orbital Elements: Milankovitch elements Perturbed two-body dynamics: - x = [h]_e_L]TER' Assume Keplerian dynamics dominant, w/ small disturbing acceleration Gauss planetary equations 0 ཟ ad Є R3 x= f(x) + B(x)ad fo(x) = B(x) = (Vrh) μ 2.r -h T 0 h(h+z.h) r h 0:{ôm ông ôn h = ||h||2, r = ||r||2, 2 = [0, 0, 1]
EoM via Orbital Elements: Milankovitch elements Perturbed two-body dynamics: - x = [h]_e_L]TER' Assume Keplerian dynamics dominant, w/ small disturbing acceleration Gauss planetary equations 0 ཟ ad Є R3 x= f(x) + B(x)ad fo(x) = B(x) = (Vrh) μ 2.r -h T 0 h(h+z.h) r h 0:{ôm ông ôn h = ||h||2, r = ||r||2, 2 = [0, 0, 1]
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
I am trying to code in MATLAB the equations of motion for malankovich orbitlal elements. But, I am having a problem with the B matrix. Since f matrix is 7x1 and a_d matrix has to be 3x1, the B matrix has to be 7x3. I don't know how that is possible. Can you break down the B matrix for me and let me know what size it is?
![EoM via Orbital Elements: Milankovitch elements
Perturbed two-body dynamics:
-
x = [h]_e_L]TER'
Assume Keplerian dynamics dominant, w/ small disturbing acceleration
Gauss planetary equations
0
ཟ
ad
Є R3
x= f(x) + B(x)ad
fo(x) =
B(x) =
(Vrh)
μ
2.r
-h
T
0
h(h+z.h)
r
h
0:{ôm ông ôn
h = ||h||2, r = ||r||2, 2 = [0, 0, 1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad0d55fe-d83b-4711-86a1-cee8ecea510f%2F16cd1745-b688-4178-9153-9ed573b33787%2Fu93z3uw_processed.png&w=3840&q=75)
Transcribed Image Text:EoM via Orbital Elements: Milankovitch elements
Perturbed two-body dynamics:
-
x = [h]_e_L]TER'
Assume Keplerian dynamics dominant, w/ small disturbing acceleration
Gauss planetary equations
0
ཟ
ad
Є R3
x= f(x) + B(x)ad
fo(x) =
B(x) =
(Vrh)
μ
2.r
-h
T
0
h(h+z.h)
r
h
0:{ôm ông ôn
h = ||h||2, r = ||r||2, 2 = [0, 0, 1]
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