Dynamics and mission design near libration points.: the case of triangular libration points / Vol. 2, Fundamentals :
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Singapore ; River Edge, NJ :
World Scientific,
2001.
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| Schriftenreihe: | World Scientific monograph series in mathematics ;
v. 3. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1 online resource (1 volume) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789812810649 9812810641 |
Internformat
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| 245 | 0 | 0 | |a Dynamics and mission design near libration points. |n Vol. 2, |p Fundamentals : |b the case of triangular libration points / |c G. Gómez [and others]. |
| 260 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c 2001. | ||
| 300 | |a 1 online resource (1 volume) : |b illustrations | ||
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| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a World scientific monograph series in mathematics ; |v vol. 3 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Ch. 1. Bibliographical survey. 1.1. Equations. The triangular equilibrium points and their stability. 1.2. Numerical results for the motion around L4 and L5. 1.3. Analytical results for the motion around L4 and L5. 1.4. Miscellaneous results -- ch. 2. Periodic orbits of the bicircular problem and their stability. 2.1. Introduction. 2.2. The equations of the bicircular problem. 2.3. Periodic orbits with the period of the Sun. 2.4. The tools: numerical continuation of periodic orbits and analysis of bifurcations. 2.5. The periodic orbits obtained by triplication -- ch. 3. Numerical simulations of the motion in an extended. Neighborhood of the triangular libration points in the Earth-Mmoon system. 3.1. Introduction. 3.2. Simulations of motion starting at the instantaneous triangular points at a given epoch. 3.3. Simulations of motion starting near the planar periodic orbit of Kolenkiewicz and Carpenter -- ch. 4. The equations of motion. 4.1. Reference systems. 4.2. The Lagrangian. 4.3. The Hamiltonian and the related expansions. 4.4. Some useful expansions. 4.5. Fourier analysis: the relevant frequencies and the related coefficients. 4.6. Concrete expansions of the Hamiltonian and the functions. 4.7. Simplified normalized equations. Tests -- ch. 5. Periodic orbits of some intermediate equations. 5.1. Equations of motion for the computation of intermediate periodic orbits. 5.2. Obtaining the periodic orbits around the triangular libration points for the intermediate equations. 5.3. Results and comments -- ch. 6. Quasi-periodic solution of the global equations: semianalytic approach. 6.1. The objective. 6.2. The algorithm. 6.3. The adequate set of relevant frequencies. 6.4. Avoiding secular terms. 6.5. The coefficients related to the different frequencies. 6.6. Determination of the coefficients of quasi-periodic functions using FFT. 6.7. Results and conclusions -- ch. 7. Numerical determination of suitable orbits of the simplified system. 7.1. The objective. 7.2. Description of two families of algorithms. reduction of the linearized equations. 7.3. Description of the methods. Comments. 7.4. Results and discussion -- ch. 8. Relative motion of two nearby spacecrafts. 8.1. The selection of orbits for the two spacecrafts. 8.2. Variations of the relative distance and orientation. Results. 8.3. Comments on the applicability of the results -- ch. 9. Summary. 9.1. Objectives of the work. 9.2. Contribution to the solution of the problem. 9.3. Conclusions. 9.4. Outlook. | |
| 650 | 0 | |a Three-body problem. |0 http://id.loc.gov/authorities/subjects/sh85135013 | |
| 650 | 0 | |a Lagrangian points. |0 http://id.loc.gov/authorities/subjects/sh85073966 | |
| 650 | 6 | |a Problème à trois corps. | |
| 650 | 6 | |a Points de Lagrange. | |
| 650 | 7 | |a SCIENCE |x Astronomy. |2 bisacsh | |
| 650 | 7 | |a Lagrangian points |2 fast | |
| 650 | 7 | |a Three-body problem |2 fast | |
| 650 | 7 | |a Sistemas dinâmicos. |2 larpcal | |
| 650 | 7 | |a Problemas de n-corpos. |2 larpcal | |
| 650 | 7 | |a Estabilidade. |2 larpcal | |
| 650 | 7 | |a Sistemas hamiltonianos. |2 larpcal | |
| 650 | 7 | |a Métodos de perturbação (sistemas dinâmicos) |2 larpcal | |
| 700 | 1 | |a Gómez, G. |q (Gerard) |1 https://id.oclc.org/worldcat/entity/E39PCjyDK6grq4g9WJmRBPqMCP |0 http://id.loc.gov/authorities/names/n00013779 | |
| 776 | 0 | 8 | |i Print version: |t Dynamics and mission design near libration points. Vol. 2, Fundamentals. |d Singapore ; River Edge, NJ : World Scientific, 2001 |z 9810242743 |z 9789810242749 |w (DLC) 00043633 |w (OCoLC)44594017 |
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| _version_ | 1816881679690629120 |
| adam_text | |
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| author2 | Gómez, G. (Gerard) |
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| contents | Ch. 1. Bibliographical survey. 1.1. Equations. The triangular equilibrium points and their stability. 1.2. Numerical results for the motion around L4 and L5. 1.3. Analytical results for the motion around L4 and L5. 1.4. Miscellaneous results -- ch. 2. Periodic orbits of the bicircular problem and their stability. 2.1. Introduction. 2.2. The equations of the bicircular problem. 2.3. Periodic orbits with the period of the Sun. 2.4. The tools: numerical continuation of periodic orbits and analysis of bifurcations. 2.5. The periodic orbits obtained by triplication -- ch. 3. Numerical simulations of the motion in an extended. Neighborhood of the triangular libration points in the Earth-Mmoon system. 3.1. Introduction. 3.2. Simulations of motion starting at the instantaneous triangular points at a given epoch. 3.3. Simulations of motion starting near the planar periodic orbit of Kolenkiewicz and Carpenter -- ch. 4. The equations of motion. 4.1. Reference systems. 4.2. The Lagrangian. 4.3. The Hamiltonian and the related expansions. 4.4. Some useful expansions. 4.5. Fourier analysis: the relevant frequencies and the related coefficients. 4.6. Concrete expansions of the Hamiltonian and the functions. 4.7. Simplified normalized equations. Tests -- ch. 5. Periodic orbits of some intermediate equations. 5.1. Equations of motion for the computation of intermediate periodic orbits. 5.2. Obtaining the periodic orbits around the triangular libration points for the intermediate equations. 5.3. Results and comments -- ch. 6. Quasi-periodic solution of the global equations: semianalytic approach. 6.1. The objective. 6.2. The algorithm. 6.3. The adequate set of relevant frequencies. 6.4. Avoiding secular terms. 6.5. The coefficients related to the different frequencies. 6.6. Determination of the coefficients of quasi-periodic functions using FFT. 6.7. Results and conclusions -- ch. 7. Numerical determination of suitable orbits of the simplified system. 7.1. The objective. 7.2. Description of two families of algorithms. reduction of the linearized equations. 7.3. Description of the methods. Comments. 7.4. Results and discussion -- ch. 8. Relative motion of two nearby spacecrafts. 8.1. The selection of orbits for the two spacecrafts. 8.2. Variations of the relative distance and orientation. Results. 8.3. Comments on the applicability of the results -- ch. 9. Summary. 9.1. Objectives of the work. 9.2. Contribution to the solution of the problem. 9.3. Conclusions. 9.4. Outlook. |
| ctrlnum | (OCoLC)268988481 |
| dewey-full | 521/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 521 - Celestial mechanics |
| dewey-raw | 521/.3 |
| dewey-search | 521/.3 |
| dewey-sort | 3521 13 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn268988481 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:33Z |
| institution | BVB |
| isbn | 9789812810649 9812810641 |
| language | English |
| oclc_num | 268988481 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (1 volume) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific, |
| record_format | marc |
| series | World Scientific monograph series in mathematics ; |
| series2 | World scientific monograph series in mathematics ; |
| spelling | Dynamics and mission design near libration points. Vol. 2, Fundamentals : the case of triangular libration points / G. Gómez [and others]. Singapore ; River Edge, NJ : World Scientific, 2001. 1 online resource (1 volume) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier World scientific monograph series in mathematics ; vol. 3 Includes bibliographical references. Print version record. Ch. 1. Bibliographical survey. 1.1. Equations. The triangular equilibrium points and their stability. 1.2. Numerical results for the motion around L4 and L5. 1.3. Analytical results for the motion around L4 and L5. 1.4. Miscellaneous results -- ch. 2. Periodic orbits of the bicircular problem and their stability. 2.1. Introduction. 2.2. The equations of the bicircular problem. 2.3. Periodic orbits with the period of the Sun. 2.4. The tools: numerical continuation of periodic orbits and analysis of bifurcations. 2.5. The periodic orbits obtained by triplication -- ch. 3. Numerical simulations of the motion in an extended. Neighborhood of the triangular libration points in the Earth-Mmoon system. 3.1. Introduction. 3.2. Simulations of motion starting at the instantaneous triangular points at a given epoch. 3.3. Simulations of motion starting near the planar periodic orbit of Kolenkiewicz and Carpenter -- ch. 4. The equations of motion. 4.1. Reference systems. 4.2. The Lagrangian. 4.3. The Hamiltonian and the related expansions. 4.4. Some useful expansions. 4.5. Fourier analysis: the relevant frequencies and the related coefficients. 4.6. Concrete expansions of the Hamiltonian and the functions. 4.7. Simplified normalized equations. Tests -- ch. 5. Periodic orbits of some intermediate equations. 5.1. Equations of motion for the computation of intermediate periodic orbits. 5.2. Obtaining the periodic orbits around the triangular libration points for the intermediate equations. 5.3. Results and comments -- ch. 6. Quasi-periodic solution of the global equations: semianalytic approach. 6.1. The objective. 6.2. The algorithm. 6.3. The adequate set of relevant frequencies. 6.4. Avoiding secular terms. 6.5. The coefficients related to the different frequencies. 6.6. Determination of the coefficients of quasi-periodic functions using FFT. 6.7. Results and conclusions -- ch. 7. Numerical determination of suitable orbits of the simplified system. 7.1. The objective. 7.2. Description of two families of algorithms. reduction of the linearized equations. 7.3. Description of the methods. Comments. 7.4. Results and discussion -- ch. 8. Relative motion of two nearby spacecrafts. 8.1. The selection of orbits for the two spacecrafts. 8.2. Variations of the relative distance and orientation. Results. 8.3. Comments on the applicability of the results -- ch. 9. Summary. 9.1. Objectives of the work. 9.2. Contribution to the solution of the problem. 9.3. Conclusions. 9.4. Outlook. Three-body problem. http://id.loc.gov/authorities/subjects/sh85135013 Lagrangian points. http://id.loc.gov/authorities/subjects/sh85073966 Problème à trois corps. Points de Lagrange. SCIENCE Astronomy. bisacsh Lagrangian points fast Three-body problem fast Sistemas dinâmicos. larpcal Problemas de n-corpos. larpcal Estabilidade. larpcal Sistemas hamiltonianos. larpcal Métodos de perturbação (sistemas dinâmicos) larpcal Gómez, G. (Gerard) https://id.oclc.org/worldcat/entity/E39PCjyDK6grq4g9WJmRBPqMCP http://id.loc.gov/authorities/names/n00013779 Print version: Dynamics and mission design near libration points. Vol. 2, Fundamentals. Singapore ; River Edge, NJ : World Scientific, 2001 9810242743 9789810242749 (DLC) 00043633 (OCoLC)44594017 World Scientific monograph series in mathematics ; v. 3. http://id.loc.gov/authorities/names/n99254802 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235915 Volltext |
| spellingShingle | Dynamics and mission design near libration points. the case of triangular libration points / World Scientific monograph series in mathematics ; Ch. 1. Bibliographical survey. 1.1. Equations. The triangular equilibrium points and their stability. 1.2. Numerical results for the motion around L4 and L5. 1.3. Analytical results for the motion around L4 and L5. 1.4. Miscellaneous results -- ch. 2. Periodic orbits of the bicircular problem and their stability. 2.1. Introduction. 2.2. The equations of the bicircular problem. 2.3. Periodic orbits with the period of the Sun. 2.4. The tools: numerical continuation of periodic orbits and analysis of bifurcations. 2.5. The periodic orbits obtained by triplication -- ch. 3. Numerical simulations of the motion in an extended. Neighborhood of the triangular libration points in the Earth-Mmoon system. 3.1. Introduction. 3.2. Simulations of motion starting at the instantaneous triangular points at a given epoch. 3.3. Simulations of motion starting near the planar periodic orbit of Kolenkiewicz and Carpenter -- ch. 4. The equations of motion. 4.1. Reference systems. 4.2. The Lagrangian. 4.3. The Hamiltonian and the related expansions. 4.4. Some useful expansions. 4.5. Fourier analysis: the relevant frequencies and the related coefficients. 4.6. Concrete expansions of the Hamiltonian and the functions. 4.7. Simplified normalized equations. Tests -- ch. 5. Periodic orbits of some intermediate equations. 5.1. Equations of motion for the computation of intermediate periodic orbits. 5.2. Obtaining the periodic orbits around the triangular libration points for the intermediate equations. 5.3. Results and comments -- ch. 6. Quasi-periodic solution of the global equations: semianalytic approach. 6.1. The objective. 6.2. The algorithm. 6.3. The adequate set of relevant frequencies. 6.4. Avoiding secular terms. 6.5. The coefficients related to the different frequencies. 6.6. Determination of the coefficients of quasi-periodic functions using FFT. 6.7. Results and conclusions -- ch. 7. Numerical determination of suitable orbits of the simplified system. 7.1. The objective. 7.2. Description of two families of algorithms. reduction of the linearized equations. 7.3. Description of the methods. Comments. 7.4. Results and discussion -- ch. 8. Relative motion of two nearby spacecrafts. 8.1. The selection of orbits for the two spacecrafts. 8.2. Variations of the relative distance and orientation. Results. 8.3. Comments on the applicability of the results -- ch. 9. Summary. 9.1. Objectives of the work. 9.2. Contribution to the solution of the problem. 9.3. Conclusions. 9.4. Outlook. Three-body problem. http://id.loc.gov/authorities/subjects/sh85135013 Lagrangian points. http://id.loc.gov/authorities/subjects/sh85073966 Problème à trois corps. Points de Lagrange. SCIENCE Astronomy. bisacsh Lagrangian points fast Three-body problem fast Sistemas dinâmicos. larpcal Problemas de n-corpos. larpcal Estabilidade. larpcal Sistemas hamiltonianos. larpcal Métodos de perturbação (sistemas dinâmicos) larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85135013 http://id.loc.gov/authorities/subjects/sh85073966 |
| title | Dynamics and mission design near libration points. the case of triangular libration points / |
| title_auth | Dynamics and mission design near libration points. the case of triangular libration points / |
| title_exact_search | Dynamics and mission design near libration points. the case of triangular libration points / |
| title_full | Dynamics and mission design near libration points. Vol. 2, Fundamentals : the case of triangular libration points / G. Gómez [and others]. |
| title_fullStr | Dynamics and mission design near libration points. Vol. 2, Fundamentals : the case of triangular libration points / G. Gómez [and others]. |
| title_full_unstemmed | Dynamics and mission design near libration points. Vol. 2, Fundamentals : the case of triangular libration points / G. Gómez [and others]. |
| title_short | Dynamics and mission design near libration points. |
| title_sort | dynamics and mission design near libration points fundamentals the case of triangular libration points |
| title_sub | the case of triangular libration points / |
| topic | Three-body problem. http://id.loc.gov/authorities/subjects/sh85135013 Lagrangian points. http://id.loc.gov/authorities/subjects/sh85073966 Problème à trois corps. Points de Lagrange. SCIENCE Astronomy. bisacsh Lagrangian points fast Three-body problem fast Sistemas dinâmicos. larpcal Problemas de n-corpos. larpcal Estabilidade. larpcal Sistemas hamiltonianos. larpcal Métodos de perturbação (sistemas dinâmicos) larpcal |
| topic_facet | Three-body problem. Lagrangian points. Problème à trois corps. Points de Lagrange. SCIENCE Astronomy. Lagrangian points Three-body problem Sistemas dinâmicos. Problemas de n-corpos. Estabilidade. Sistemas hamiltonianos. Métodos de perturbação (sistemas dinâmicos) |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235915 |
| work_keys_str_mv | AT gomezg dynamicsandmissiondesignnearlibrationpointsvol2thecaseoftriangularlibrationpoints |