Fictional Orbital Mathematics of the Verse

[TomtheFanboy]

deleted

[TomtheFanboy]

deleted

[AllyKat]

So far the only simulators I've found:

A)was specifically of our solar system...

But the nice thing about it is it looks like you can go to any time and see the
solar system on that year/day/time... which is probably a slight bit more helpful
then nothing. If there happens to be a solar system similar to ours in your rpg
model...

http://space.jpl.nasa.gov/

B) Only allowed for 4 planets...

But it does kinda let you choose the overall design which is spiffy

http://janus.astro.umd.edu/orbits/ssbuild.html

C)Seems more complicated then I can understand...

But you might actually find this one useful because it seems to have a
pretty simple set up (though I don't understand how to modify it)
and the end result is a working model of the rotation of all planets against
a sun of whatever size you prefer.

http://www.cuug.ab.ca/kmcclary/ORRERY/index.html

I don't know if any of that is what you mean exactly... but I hope
it leads you in the right direction!

~Allykat

[melchizedek]

eh, is just multiplication, nothing fancy.  The real issue would be accounting for special relativity in close to light speed travel.

[TomtheFanboy]

deleted

[NARUNIK]

Distance and orbital speeds for the stars and planets.
Orbital velocity = Square root of (Mass times G)divided by Radius.
Venus is .72 AU and orbits 1.2 as fast, 1 revolution every 224 days
Earth is 1 AU and orbits 58 billion miles in 1 year,
Mars is 1.5 AU and orbits .78 as fast, 1 revolution every 1.8 years
Jupiter is 5 AU and orbits .45 as fast, 1 revolution every 11.8 years
Saturn is 9.5 AU and orbits .33, 1 revolution every 24.5 years
Uranus is 19 AU and orbits .22 as fast

That's Old Sol, we're looking at STARS now!

Old Sol's mass 1.988435x10^30 kg  (kilograms)
White Sun is 3.2 sol, 6362992000000000000000000000000 kg
Red Sun is 0.98 sol, 1948666300000000000000000000000 kg
Georgia is 1.1 sol, 2187278500000000000000000000000 kg
Kalidasa is 1.29 sol, 2565081150000000000000000000000 kg
Blue Sun is 1.7 sol, 3380339500000000000000000000000 kg

In the case of the Verse, the white sun acts as M
M= 6362992000000000000000000000000 kg
G= 6.67300 × 10-11 m3 kg-1 s-2
M*G= 4.247x10^20 N m^2/kg^2  (newton square meters per kilogram squared)

-----M x G/radius in meters-----
1 AU= 1.49597870692x10^11 meters
Georgia, r = 7.4798935346x10^12 meters
Red sun, r = 7.4798935346x10^12 meters
Kalidasa, r = 1.7951744483x10^13 meters
Blue Sun, r = 2.6927616725x10^13 meters

M*G/r equals.....
Georgia, 5.678x10^7 m N/kg^2  (meter newtons per kilogram squared)
Red Sun, 5.678x10^7 m N/kg^2  (meter newtons per kilogram squared)
Kalidasa, 2.366x10^7 m N/kg^2  (meter newtons per kilogram squared)
Blue Sun, 1.577x10^7 m N/kg^2  (meter newtons per kilogram squared)

square root of M*G/r equals....
Georgia, 7535.25 m/s
Red Sun, 7535.25 m/s
Kalidasa, 4864.15 m/s
Blue Sun, 3971.15 m/s

Circumference of the orbits= distance
Georgia, 314.2 AU is 4.7004x10^13 meters
Red sun, 314.2 AU is 4.7004x10^13 meters
Kalidasa, 754 AU is 1.12796794501x10^14 meters
Blue Sun, 1131 AU is 1.69195191752x10^14 meters

Distance/Velocity = travel time
Georgia's orbit takes 197 years  9 months  20 days
Red Sun's orbit takes 197 years  9 months  20 days
Kalidasa's orbit takes 735 years  3 months  30 days
Blue Sun's orbit takes 1351 years and 10 days

NOTE: Because of the story so far, I am hereby REVERSING the orbit of the stars. Thus the Blue Sun orbits counter clockwise and the rest orbit clockwise (relative to White Sun North). I'm very curious to see how long the Red Sun and Kalidasa will be counted as "adjacent systems" since that will have an impact on trade and travel time.

... I think it'll be about 40 years by my reckoning.

The impact on game is that it's going to become progressively easier to planet hop as you travel between all the systems but the Blue Sun because the four middle stars are moving INTO alignment. The conjunction itself will occur in about 30 years, which explains the politicians wanting to get the deals worked out now so they'll all be able to enjoy a healthy retirement for themselves and their children.

HOW CAN YOU CALL THAT NOTHING FANCY!

[TomtheFanboy]

deleted

[AllyKat]

B) Only allowed for 4 planets...

But it does kinda let you choose the overall design which is spiffy

http://janus.astro.umd.edu/orbits/ssbuild.html

Well I'm dealing with 4 stars around one central star.
And even if we could make only three stars that'd be fine because two of the stars are locked in their orbits and I can just extrapolate that the other one is directly opposite.

Couldn't find a pause button, might have to take screencaps!

So you are more or less looking for a galaxy simulator then?

0.o

~Allykat

[NARUNIK]

Google should make something like GOOGLE GALAXY. If they havent.

[TomtheFanboy]

[melchizedek]

eh, is just multiplication, nothing fancy.  The real issue would be accounting for special relativity in close to light speed travel.

Yeah nothing fancy.

It isn't fancy because it assumes newtonian mechanics which has been proven to be false when approaching light speed.  If tom's equations accounted for time dilation then I'd be impressed

Also, proto stars are just gas clouds.  How a star forms is a big gas cloud is eventually all dragged together by gravity.  Eventually the gas contracts and when the forces of gravity are high enough the fusion reaction occurs (if there is enough gas) that creates a star. 

If not, something like jupiter is formed, lots of gas but not enough to actually drive the density of the core into a fusion reaction.

Make sense?

[TomtheFanboy]

What doesn't make sense is that you resurrected this thread.

[melchizedek]

*thread necromancer *

[RemSaverem]

Um I'm at work and don't have time to look this over but major props for even caring about the math and major love for any Whedonverse RPGing (I'd be all about the LARPing)

[TomtheFanboy]

We kind of LARPed on Halloween.
I printed out pictures of the Capybara (a pet) and walked one around at thigh height. 

[DancingTofu]

One month isn't really a thread necro, especially when the actual question of the issue wasn't addressed and when it was legitimately pointing out a feasible error in the calculations.

So, Red Sun and Georgia are flawlessly in orbit, AND perfectly adjacent?  That seems very farfetched to me.  I'd expect at least a 0.01% deviation with such a significant difference in mass.  Also, they wouldn't be orbiting with low eccentricity at the same radius from the White Sun at different masses.  The Red Sun would have to be closer, otherwise the force of gravity acting upon it by the compound force of the White Sun and Georgia wouldn't be sufficient to keep it in orbit.

Also, are you factoring in the masses of the Red Sun and Georgia against each other?  It should be a small factor, but a legitimate detail nonetheless. Because they are always in perfectly opposing orbit, their masses would effect each other in addition to the mass of the White Sun.

[TomtheFanboy]

Thanks for ruining Christmas.

[melchizedek]

I read this... then i LOLed

[RemSaverem]

We kind of LARPed on Halloween.
I printed out pictures of the Capybara (a pet) and walked one around at thigh height. 

[LtCommanderRichie]

Let's just chalk it all up to Blue Sun and its meddling, terraforming ways.