Write a function called orbit that takes three inputs and returns three outputs. Our function is related to a planet that is in orbit around a star. Your function should take information about your planet’s orbit and tell us how long that orbit will take. Your three inputs should be: - The major axis radius, major. - The minor axis radius, minor. - The planet’s orbital velocity, velo, in meters per second. Your outputs should be the length of one year on that planet, in days, using three approximations for the perimeter of an ellipse.A circular approximation, circTime. - Using Ramanujan’s1 first approximation, ram1Time. - Using Ramanujan’s second approximation, ram2Time

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7th Edition
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Chapter1: Introduction
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Write a function called orbit that takes three inputs and returns three outputs. Our
function is related to a planet that is in orbit around a star. Your function should take information about your planet’s orbit and tell us how long that orbit will take.
Your three inputs should be:
- The major axis radius, major.
- The minor axis radius, minor.
- The planet’s orbital velocity, velo, in meters per second.
Your outputs should be the length of one year on that planet, in days, using three approximations for the
perimeter of an ellipse.A circular approximation, circTime.
- Using Ramanujan’s1 first approximation, ram1Time.
- Using Ramanujan’s second approximation, ram2Time

MAlws u
< 2-2.pdf
F3
gmail
ttps://rutgers.instructure.com/courses/217240/assignments/2432896
4
A
Home SP23_1
Output
Time in Days
Earth Data
You should find:
F4
%
perimeter ≈ n(a + b) (1 + ·
10
40 FS
5
T
circ Time
MATLA Zy Section
Note that those equations give you perimeters. To calculate the time it takes to travel that
distance, you have to divide a perimeter by a velocity. Then remember to convert the time to the
correct units (days).
To test your code, use these inputs:
Input
a (km)
4-
3.652952252479330e+02
6
F6
Y
149600000
4+ F7
&
O Search
7
U
*
FB
Hoxb Home zy Section
8
3h
10+ √4-3h
Page
b (km)
1
149580000
ram1 Time
▶11 F9
2
9
0
-
>
FIO
0
Files
where h =
of 2
v (km/s)
29.78
3.652952248398216e+02 3.652952248398215e+02
P
FII
Download
ram2 Time
M
(a - b)²
(a + b)²
{
C
[
F12
+
- ZOOM
G
i Info
DELETE
BACKSPACE
Transcribed Image Text:MAlws u < 2-2.pdf F3 gmail ttps://rutgers.instructure.com/courses/217240/assignments/2432896 4 A Home SP23_1 Output Time in Days Earth Data You should find: F4 % perimeter ≈ n(a + b) (1 + · 10 40 FS 5 T circ Time MATLA Zy Section Note that those equations give you perimeters. To calculate the time it takes to travel that distance, you have to divide a perimeter by a velocity. Then remember to convert the time to the correct units (days). To test your code, use these inputs: Input a (km) 4- 3.652952252479330e+02 6 F6 Y 149600000 4+ F7 & O Search 7 U * FB Hoxb Home zy Section 8 3h 10+ √4-3h Page b (km) 1 149580000 ram1 Time ▶11 F9 2 9 0 - > FIO 0 Files where h = of 2 v (km/s) 29.78 3.652952248398216e+02 3.652952248398215e+02 P FII Download ram2 Time M (a - b)² (a + b)² { C [ F12 + - ZOOM G i Info DELETE BACKSPACE
01 SP23
← O
circTime, ramlTime, ram2 Time]
The circular approximation is:
Ramanujan's first approximation is:
SHAD
Ramanujan's second approximation is:
FI
ANTERIOR SIO
https://rutgers.instructure.com/courses/217240/assignments/2432896
56°F
Sunny
W
5
X
# F2
#
3
E
C
*F3
≈
(1
perimeter π(a + b)(1+
$
4
A
F
F4
V
%
40 FS
5
T
perimeter ≈ ñ[3(a + b) − √√(3a + b)(a + 3b)]
G
B
6
F6
Y
H
&
perimeter≈ 2π
=
N
O Search
F7
7
U
J
Page <
of 2
= orbit (major, minor, vel
*
FB
8
M
4
3h
10+ √4-3h
▶II F9
K
9
HI
a² + b²
2
FIO
L
2
0
P
where h =
FIL
F12
+
[
G
]
(a - b)
(a + b)²
PAUSE
C
DELETE
BACKSPACE
1
Transcribed Image Text:01 SP23 ← O circTime, ramlTime, ram2 Time] The circular approximation is: Ramanujan's first approximation is: SHAD Ramanujan's second approximation is: FI ANTERIOR SIO https://rutgers.instructure.com/courses/217240/assignments/2432896 56°F Sunny W 5 X # F2 # 3 E C *F3 ≈ (1 perimeter π(a + b)(1+ $ 4 A F F4 V % 40 FS 5 T perimeter ≈ ñ[3(a + b) − √√(3a + b)(a + 3b)] G B 6 F6 Y H & perimeter≈ 2π = N O Search F7 7 U J Page < of 2 = orbit (major, minor, vel * FB 8 M 4 3h 10+ √4-3h ▶II F9 K 9 HI a² + b² 2 FIO L 2 0 P where h = FIL F12 + [ G ] (a - b) (a + b)² PAUSE C DELETE BACKSPACE 1
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