How Long to Read Dynamics and Mission Design Near Libration Points

How Long Does it Take to Read Dynamics and Mission Design Near Libration Points?

It takes the average reader 2 hours and 40 minutes to read Dynamics and Mission Design Near Libration Points by G Gómez

Assuming a reading speed of 250 words per minute. Learn more

Description

It is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, μ, below Routh's critical value, μ1. It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points L4, L5 but for a set of relatively large measures. This follows from the celebrated Kolmogorov–Arnold–Moser theorem. In fact there are neighborhoods of computable size for which one obtains “practical stability” in the sense that the massless particle remains close to the equilibrium point for a big time interval (some millions of years, for example). According to the literature, what has been done in the problem follows two approaches: (a) numerical simulations of more or less accurate models of the real solar system; (b) study of periodic or quasi-periodic orbits of some much simpler problem. The concrete questions that are studied in this volume are: (a) Is there some orbit of the real solar system which looks like the periodic orbits of the second approach? (That is, are there orbits performing revolutions around L4 covering eventually a thick strip? Furthermore, it would be good if those orbits turn out to be quasi-periodic. However, there is no guarantee that such orbits exist or will be quasi-periodic). (b) If the orbit of (a) exists and two particles (spacecraft) are put close to it, how do the mutual distance and orientation change with time? As a final conclusion of the work, there is evidence that orbits moving in a somewhat big annulus around L4 and L5 exist, that these orbits have small components out of the plane of the Earth–Moon system, and that they are at most mildly unstable. Contents:Bibliographical SurveyPeriodic Orbits of the Bicircular Problem and Their StabilityNumerical Simulations of the Motion in an Extended Neighborhood of the Triangular Libration Points in the Earth–Moon SystemThe Equations of MotionPeriodic Orbits of Some Intermediate EquationsQuasi-Periodic Solution of the Global Equations: Semi-Analytical ApproachNumerical Determination of Suitable Orbits of the Simplified SystemRelative Motion of Two Nearby Spacecrafts Readership: Applied mathematicians, computational physicists and aerospace engineers. Keywords:The Triangular Libration Points;The Bicircular Problem;Periodic Orbits and Their Stability;Simulations around Triangular Points;Quasi-periodic Solutions near Triangular Points;Semi-Analytical Computations;Numerical Determination of Nominal Orbits;Relative Motion of Two Nearby Spacecrafts

How long is Dynamics and Mission Design Near Libration Points?

Dynamics and Mission Design Near Libration Points by G Gómez is 160 pages long, and a total of 40,000 words.

This makes it 54% the length of the average book. It also has 49% more words than the average book.

How Long Does it Take to Read Dynamics and Mission Design Near Libration Points Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 38 minutes to read Dynamics and Mission Design Near Libration Points aloud.

What Reading Level is Dynamics and Mission Design Near Libration Points?

Dynamics and Mission Design Near Libration Points is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Dynamics and Mission Design Near Libration Points?

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