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Results tagged with lagrangian-points
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Lagrangian points (also Lagrange points, L-points, or libration points) are the five positions (L1 - L5) surrounding two celestial bodies where gravitational pull of the two large mass bodies provides the centripetal force required to orbit them. Such points are usually nominally unstable but somewhat periodic around celestial systems with stable orbits.
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Is lagrange point L1 stable?
Something parked at L1 is balanced between evenly matched tug-of-war teams.
On one side of the tug-of-war is the moon's gravity and inertia in a rotating frame (what we used to call centrifugal force …
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9
votes
How Many Martian Lagrange points are there? ...And are they useful for satellites?
For tide locked moons the L1 and L2 points could play the same role that planet synchronous points play in Clarke towers.
Simultaneously lowering a tether from MPL1 Phobos ward and extending a tether …
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6
votes
Accepted
Stability of Lissajous orbits around Sun-Venus L1
I get SVL1 as 1,007,927 kilometers from Venus' center. But that's too much precision. Since Venus' orbit isn't perfectly circular, you don't have that many significant digits. I usually say about a mi …
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10
votes
Accepted
Where will objects end up, after losing stability at Lagrangian points?
EML1 and EML2
From EML2 and EML1 it is possible to collide with earth or the moon. It is also possible to sail out of earth's Hill Sphere.
Here are a range of pellets from EML2 nudged away from the …
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2
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Why are the Trojan libration points equidistant and not mass weighted?
It's a tug of war between three accelerations: Central body gravity, orbiting body gravity, and centrifugal acceleration (inertia in a rotating frame).
Centrifugal acceleration is $\omega^2*r$ where …
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8
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How deep is the force well of L4 and L5 Lagrangian Points of Earth-Sun set?
L4 and L5 are stable in an ideal circular 3 body scenario where the central body is 26 times more massive than orbiting body. But that isn't a very accurate model for the real world. While the sun is …
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2
votes
Accepted
For an EML-1 to Mars transfer orbit, would flying to the right or left of Earth be preferable?
EML1 is moving in a prograde orbit at about .86 km/s. A .7 km/s braking burn will drop it into a prograde orbit with a perigee deep in earth's gravity well (about 300 km altitude).
To go to a retrogr …
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20
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Accepted
Reverse Lunar Space Elevator
Here's a pic of the tether proposed by Liftport.
Go 160,000 km beyond EML1 and drop a payload from that point. It will follow an elliptical path whose perigee grazes low earth orbit. A 3 km/s burn …
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5
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Accepted
Do Lagrange-like regions temporarily appear around planets with multiple moons?
An online 3-body text is Dynamical Systems, the Three Body Problem and Space Mission Design (big pdf).
The trajectories they look at are those with a C3 close to zero (near parabolic) in the regions …
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3
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How does the delta V to reach and orbit L4 and L5 compare to entering orbit around the Moon?
Enter perigee and apogee altitudes in my Hohmann Spreadsheet and the circularization burns show the delta V to get from circular orbit at perigee altitude to a circular orbit at apogee altitude. Here' …
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3
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Is it feasible to put a comet into a Lagrangian point?
Parking a nice juicy body full of volatile ices in a high lunar orbit is one of my favorite daydreams. Lots of CHON - Carbon, Hydrogen, Oxygen, and Nitrogen. Stuff necessary for life support. Cometary …
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9
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What would be the delta-v of rendezvousing with temporarily captured asteroids in Sun-Earth ...
Above are 4 ellipses. They all have a 400 km altitude perigee, but widely varying apogees.
The blue ellipse has an ~1.5 million km apogee, about the distance to SEL1 or SEL2.
The larger grey ellips …
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8
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Does the Earth have any Trojan asteroids?
Asteroid 2010 TK7 is called an Earth Trojan. But it's orbit isn't as long lived as the Jupiter Trojans. According to Wikipedia:
2010 TK7's orbit has a chaotic character, making long-range predicti …
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4
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How can Sun-Jupiter Lagrangian points be used by flyby probes?
The Sun-Jupiter L1 and L2 (SJL1 and SJL2) are lot more interesting than the Sun-Earth L1 and L2 (SEL1 and SEL2). The Sun-Earth mass parameter is only 3.04e-6 while the Sun-Jupiter mass parameter is 9. …
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4
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Libration points - Science prospects
Two possibilities:
An SEL2 infrared telescope
From the point of view of a space craft at Sun Earth L2, the sun, earth and moon all dwell in the same region of the sky. A small shade could shield hea …
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