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Gravitational Slingshot Help


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I recently gained an interest in gravitational slingshots. I attempted one by using the Mun to reach Kerbol orbit, and it worked. I have no clue how to see how efficient the maneuver was compared to a Hoffman out of the system, so could someone please do the math for me? I'd also be much obliged if you were to show and explain your work so I can learn. Below are some facts about the trip and rocket.

Starting Orbit: 130km around Kerbin, circular

Fuel expended for the TMI: 2222.9

Munar Periapse: ~10km

(Unfortunately, I don't know the Specific Impulse for the rocket I used, as it uses the old Burn Rate stat)

Rocket Thrust: 1100

Burn Rate: 66

Kerbol Apoapse: 13,810,000 km

Kerbol Periapse: 13,190,000 km

If you need any other information AT ALL, I can get it for you easily. Please just leave a reply asking for a specific stat(s)

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Spell check is evil. Hohmann is the way to spell it.

Also, it's not a Hohmann transfer that you would be using. It's an escape trajectory.

Doing an escape trajectory from Kerbin orbit is more efficient than a slingshot around the Mun due to the Oberth effect.

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It's a more efficient escape from Kerbin, but as far as getting to another planet, it's probably not.

*edit*

Okay, I did some rough calculations. In the best case scenario for a Mun slingshot, the break even point is around 1200m/s of needed velocity when exiting Kerbin's SOI. This is about 300m/s delta-v. I used 100km as parking orbit around Kerbin, and 3km periapsis for the Mun slingshot. Past expending 300 delta-v, it would be more efficient to do the escape trajectory directly from Kerbin orbit. This is also assuming you transfer to the mun such that your periapsis is on the back retrograde sector of the Mun.

Edited by Kosmo-not
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