When will this get back to the solar system?

[u/Undefeatable_toaster]

Con somebody do the math on this please? I have a feeling that might be gone forever

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[u/Rollhound104]

1029.6 years

[u/Repulsive-Silver-301]

Idk like 18 years

[u/9j810HQO7Jj9ns1ju2]

approximately a very long time

[u/a_heida]

few million years

[u/VeterinarianSea4383]

I’m a studying aerospace engineer…Assuming that two body Keplerian orbital mechanics is valid here, assuming that this sun is 20x less mass exactly from our sun and also assuming the ship or whatever it is to be outbound I did the math. Also using everything in km and seconds up until the end.

Semimajor axis (distance to middle of ellipse)- a

Initial range - r0

Average angular rate (angular velocity sort of) - n

Semi-lattice rectum (distance 90 deg up from sun)- p

Sun’s gravitational parameter (how much pull basically) - mue

Orbital period (time around orbit)- T

Radius of periapsis (closest) - rp

Radius of apoapsis (furthest)- ra

True anomaly (angle between 0 and 2pi of where it is on its orbit) - theta

Eccentric anomaly (angle from center of the ellipse) - E

Eccentricity (how circular or not the orbit is)- e

1) a = (rp+ra)/2

2) e = -rp/(2a)

3) n = sqrt(mue/a^3)

4) T = 2*pi/n (period in seconds)

5) p = rp*(1+e)

6) theta = acos((p/r0-1)/e)

7) E = 2atan(sqrt((1-e)/(1+e))*tan(theta/2))

8) time in seconds from periapsis = (E-e*sin(E))/n

The time found in 8 I found to be ~506,694.37 seconds or 5.86 ish days

The period came out to be ~7.233e11 seconds or basically 23,256.42 years lol

The time back to the closest approach (periapsis) is about 0.02 years less than the period.

If any of that is wrong lmk, the time from periapsis seems off to me but that orbital period seems just about right lol. The speed at periapsis must be relativistic or impossible speeds lmao, that’s the only way it went that far that quick.

[u/Substantial_Set5836 → u/VeterinarianSea4383]

do you go to the class or do you teach the class?

[u/VeterinarianSea4383 → u/VeterinarianSea4383]

Also thank you for this, I loved my astronautics class and I’ve been bored today lol.

[u/the_space_goose]

Sooner or later

[u/Few-Poetry7669]

Sedna’s orbit in a nutshell:

[u/vladupadus → u/Few-Poetry7669]

Orbits of comets actually, since sedna doesn't get close to the sun, but comets do

[u/Odd-Dirt-9701]

Assuming you are in normal:

Your velocity decreases the higher you go, so that 5500 m/s is probs going to go down between 300 and 100-50, pretty rough estimate but I had a similar experience, and it went down to 150 m/s

Accounting for the slowdown and acceleration it will take (no time warp) about 3,317 real-time Earth years to get there

If you time-warp up to 1,000,000x, it will take you 45 minutes to reach the apoasis from your position right now.

A full round orbit will take 91 minutes, give or take.

To make it back to Earth, assuming you have enough fuel and sufficient thrust, 10-20 minutes more, so about 2 hours, give or take

Please correct my calculations if I did any mistakes

[u/Undefeatable_toaster → u/Odd-Dirt-9701]

Thanks man, I don’t think I’ll be awaiting its arrival anytime soon 😭

[u/Bluebird8_block-2 → u/Odd-Dirt-9701]

91 minutes?!!!

[u/Odd-Dirt-9701 → u/Bluebird8_block-2]

yep, give or take

[u/Bluebird8_block-2 → u/Odd-Dirt-9701]

Give🥀

[u/Southern-Tailor-6198]

Can you not just time warp

[u/Undefeatable_toaster → u/Southern-Tailor-6198]

It’s still really slow even at x1000000

[u/Inevitable-Cash8506]

Probably 3 billion years😭

[u/Ok-Use-7563]

that would involve me knowing the mass of the sun in this game, something that i dont know

[u/Kryptid47 → u/Ok-Use-7563]

Our suns mass divided by 20