Originally posted by @deepthoughtIt doesn't even need trig. If it was at the distance to Luna, say 300,000 km for grins, then the orbit would be about 2 million km around and Jove is about 130,000 km wide that takes up about 1/15th of the circle represented by that orbit. It would subtend roughtly 24 degrees across the sky, about 1/8th of the sky from horizon to horizon.
The earth would be the moon and jupiter the planet. How big it would be in the sky depends on the radius of the orbit. It's a fairly simple trigonometry problem.
Originally posted by @sonhouseThat was trigonometry. I was wondering about putting bounds on it, since there'll be a closest orbit, where the Earth won't be pulled apart by tidal forces, and a furthest one, where the Earth is still bound. I suspect the distance you've used might be inside the Roche limit (if I've remembered the right term).
It doesn't even need trig. If it was at the distance to Luna, say 300,000 km for grins, then the orbit would be about 2 million km around and Jove is about 130,000 km wide that takes up about 1/15th of the circle represented by that orbit. It would subtend roughtly 24 degrees across the sky, about 1/8th of the sky from horizon to horizon.
1 edit
-Removed-I think it would be something like that, give or take.
Roche limit would make things difficult for Earth even if we were not at the limit, the amount of tides would be maybe 10 times what they are now or more.
Deep, here is a link to Roche limit formulae,
https://en.wikipedia.org/wiki/Roche_limit
My question is the units, what are they, I know they are MKS I think but I get nonsense answers when I plug in numbers.
Mass of Jove, ~1.9E27 Kg, radius ~64,000 km, density ~1.3 Gm/Cm^3 but they seem to using numbers for that 1000 X higher.
Earth/Moon distance, ~ 384,000 km, Earth mass ~ 6E24 Kg, density 5.5 gm/cm^3
https://en.wikipedia.org/wiki/Roche_limit
There is a simplified formula D=~1.26 R (DM/dm)^.3333 (cube root)
It sure would be nice to put in units for us without Phd's in physics.
-Removed-Yeah but like DT said, Jupiter at Luna distance may destroy Earth where the Roche limit is where tidal forces = gravitational attraction where loose objects would float off the planet and such.
I found the formulas for that but can't figure out the units so I get nonsense numbers doing the arithmetic.
1 edit
-Removed-using the Intercept Theorem which is part of elementary geometry you find that a length A at a distance of B is directly proportinal to an (unknown) length C at a distance D with B/D=C/D
Since you agve us 1 m at arms length (say 0.8 m) and the Diameter of Jupiter (143.000 km). The distance would be 114 000 km, which would be much nearer than the moon is...
Originally posted by @ponderableHow does that relate to the Roche limit? What angle would Jove subtend at that 114K ?
using the Intercept Theorem which is part of elementary geometry you find that a length A at a distance of B is directly proportinal to an (unknown) length C at a distance D with B/D=C/D
Since you agve us 1 m at arms length (say 0.8 m) and the Diameter of Jupiter (143.000 km). The distance would be 114 000 km, which would be much nearer than the moon is...
Originally posted by @sonhouseIf we consider the densities of Jupiter with 1,33 and the density of the earth with 5,15 we end up with R*0.8 that is Jupiter would strip the earth of all gaseous material (atmosphere and water) but the rest would be stable.
How does that relate to the Roche limit? What angle would Jove subtend at that 114K ?
I can't say that I understood the other question...
Originally posted by @ponderableJust how big would Jupiter appear in the sky at that distance, what 110Km? I can do that one, no big deal. Well that seems to be an interesting number, Jove would be one radian wide, 57 odd degrees in Earth's sky.
If we consider the densities of Jupiter with 1,33 and the density of the earth with 5,15 we end up with R*0.8 that is Jupiter would strip the earth of all gaseous material (atmosphere and water) but the rest would be stable.
I can't say that I understood the other question...
If the orbital velocity was right Earth would just orbit Jove just like the ISS orbits Earth and with little in the way of atmosphere it would stay that way for a billion years.