e your VPython program for the binary star system such that it should describe

the Earth$-$Moon system.

$$ Create an additional object that will represent a space craft $($Apollo$)$ in the system

with an initial high altitude, say $3$ times the radius of Earth. You may assume that

the mass$(104)$ of the space craft is much smaller than the mass of Earth and

Moon.

$$ Find the velocity of the Moon.

$$ Find an initial velocity in some direction such that the spacecraft meets the Moon.

$$ Additionally, set an initial velocity such that the Apollo space craft orbits the Earth

$5-6$ times and then generates an escape velocity to then head to Mars.

$$ Some useful equations:

$(1)$ ~FG $=$GM$1$M$2$

$|$ ~R$12|2$

$$R

$(2)$ Fc $=$ M v$2$

R

Write a report that contains all the relevant information.

Date: November $18,2024.$

Key words and phrases. Mechanics and Heat at California State University, Long Beach.

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