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How can i calculate geostationary orbit


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am using Remote tech2 mod and Real Solar System mod

and now i want sending a radio satellite on the geostationary orbit

i found geostationary orbit of original kerbin in Wiki but i don't know how changed geostationary orbit in RRS mod

1. How can i know geostationary orbit (used RRS mod.)

2. If add on be calculated geostationary orbit, what add on can this?

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First you need to know the sidereel rotation period of the planet(T), the mass of the planet(M), and the gravitational constant of the universe(G) I don't know if it's the same as in vanilla, so you need to find out.

From the rotational period you can work out the SMA(a).

T=2*PI*(a^3/(G*M))^0.5

Then get your apses by taking away the equatorial radius from the SMA.

Edited by Cpt. Kipard
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Orbital r = cuberoot( (t² x GM)/4pi² )

To use this formula to get a Synchronous orbit you need to know the mass of the planet, and how long a day is for that planet.

t is in seconds, so if your planet rotates once every 6 hours, that's 21600 sec

GM is Newtons gravitational constant times the mass of the planet.

Not knowing how this changes with RSS i'll show you using the stock numbers.

Kerbin GM would be roughly 6.67384x10-¹¹ x 5.2915793x10²² = 3.531515x10¹²

multiplying (t²) 21600² sec with (GM) 3.531515x10¹² and deviding this number by 4pi²

and then take the cuberoot of that number you'll have your orbital radius. (3468722.89m)

now if you want the orbital altidude simply subtract the planets radius to get your number.

(in my case: 3468722.89m - 600000m = 2868722m) probbably a coupple meters off due to rounding errors.

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well..

Just downloaded the RSS mod an hour ago to check it out for my self.

Stationary orbit is at about 35,777,650 m altitude if you still wanna know.

Holy crap, the dv requirements is just silly with this mod.

built a craft with 12500 dv, and spent it all just to get to stationary orbit to double check my result.

Edit:

In RSS:

Kerbin / (Earth analog)

rotational period: 86164.0916 sec

radius: 6371000 m

GM: 3.98161x10^14

Edited by Respawn
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On a KSP video I watch once. The person said that Kerban Geo orbit is 2,869,000 meters. I put a satellite at that altitude and it did seem to stay in place. The game crashed and I had to reload it so I could not track it for a long period of time.

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