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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.
12
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How do the Moon and other planets affect Earth-Sun Lagrange points' locations?
Lagrangian points are mathematical entities, and unless a specific list of criteria are met, they simply don't exist. The constraints are those of the circularly restricted three body problem (CR3BP), …
11
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Help with fictional scenario: trapped in Lagrange Point orbit
For The Sun-Earth Lagrange points, trajectories to L3, L4 and L5 are time consuming, in the order of several months even for expensive "fast" trajectories. Regular low energy transfers take more than …
0
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What use (if any) does the "empty focus" of an elliptical orbit have in orbital mechanics?
The empty focus is useful for finding true anomaly from the current distance to the focus — geometrically.
Elliptic orbits have the powerful property that:
$$r + r_{empty} = 2a$$
Or in other words, yo …
3
votes
What, if any, libration points exist in systems of multiple orbiting bodies?
In a system with libration points, none of the bodies move relative to the point. Therefore, the Earth/Moon points are not valid 4-body solutions, because they move relative to the Sun. For true 4-bod …
3
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Do Lagrange points still exist if there is significant radiation pressure on the third body ...
1) and 2) are easy to show, the bonus is very hard and I will not attempt it.
A $L$iberation point can be seen as a balance between three accelerations in a rotating frame of reference.
Gravity fro …
3
votes
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Travel time from lunar orbit (EML2) to Jupiter using skyhook only?
Transfer
Regardless of how escape from the Earth system is achieved, orbital mechanics pose some restrictions on travel time.
The minimum velocity transfer possible is an elliptical transfer orbit tou …
4
votes
Accepted
How much delta v does it take to get to the Sun-Earth Lagrange 3 point?
For a transfer using a minimum of propellant, the required $\Delta v$ is very close to Earth's escape velocity. At only a very small $v_{inf}$, you can still have a solar orbit with an orbital period …
5
votes
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How big would a collection of asteroids near the Moon's L4 point need to be to aggregate nat...
Not touching upon how "useful" this could be as a stepping stone, as that's difficult to answer, but the more narrow question "Will a pile of rocks stick together at EML4, or drift apart due to tidal …
1
vote
How does gravitational stability change with the distance from special places such as geosta...
First, it is nothing special with the geostationary orbit regarding gravity, this is just the location where an object seems to hoover in the same spot in the sky. That is dependent on the rotation of …
3
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How to calculate libration amplitude of objects orbiting the $L_4$, $L_5$?
At first glance, this looks like a horribly complicated problem. Here is an example of a tadpole orbit around around $L_5$:
Geometrically, it is very irregular. That, however, is a projection in a …
3
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Can mascons have Lagrange-like points? In principle? At the Moon?
Provided that "enveloped" means the radially-varying density spheres have their mass distribution additively combined, and the rate of rotation is equal to that of a two body system, the setup is iden …
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What does the term "libration point gateway" mean?
The Lagrangian points are gravitationally so close to each other that "free" transfers between them, and nearby orbits, exist.
Both "transfers between libration point orbits" and "libration point gate …
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Is there a synchronous orbital height for Phobos?
By definition, the only stationary points in a two-body system are the Langrangian points This applies as Phobos is tidally locked to Mars, and thus the two periods are equivalent. Even L3, L4 and L5 …