Question: Show your works of calculation for semimajor axis a (m), calculated period TC (days) from a (m), and orbital speed v of Earth. Be careful about the units.

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11-08-2022
Physics

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Question: Show your works of calculation for semimajor axis a (m), calculated period TC (days) from a (m), and orbital speed v of Earth. Be careful about the units.

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tutorconsortium204 tutorconsortium204 · Answer 1 · 2022-08-17T11:15:01+02:00

E=12v2r=2a, which is equivalent to a=rrv2r2a.

Where M, m are the greater and smaller masses, respectively, and an is the semi-major axis, =G(M+m), v is the velocity. I expected the semi-major axis to be 10 when using a simulation with two bodies, a planet (with mass 9999999999) and a satellite (with mass 1) situated 10 units from the planet, in a circular orbit, but what I receive is a negative value.

What is semimajor axis?

Since the discovery of the other planets in our solar system, people have fantasised of visiting them. Walter Hohmann devised the most effective approach in 1925 after being inspired by a well-known science fiction book of the day. The process is currently referred to as a Hohmann transfer.

The semi-major axis is the distance from the origin to either side of the ellipse along the x-axis, or just one-half the longest axis, and is defined as half the sum of the perihelion and the aphelion for any ellipse (called the major axis).

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