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1 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Coordinate systems for the three-degree-of-freedom motion of a spacecraft inside a planet's atmosphere. Adapted from Ref. [12].

2 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of classical Yaroshevskii's, new analytical, and numerical solutions of Yaroshevskii's equation: (a) initial conditions in Eq. (94) and (b) initial conditions in Eq. (95)

3 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of percentage relative errors of the classical Yaroshevskii's and the new analytical solutions: (a) initial conditions in Eq. (94) and (b) initial conditions in Eq. (95)

4 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical and numerical altitude solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

5 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of relative error of analytical altitude solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

6 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical and numerical flight path angle solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

7 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of relative error of analytical flight path angle solutions: (a) γ0=−10 deg (b) γ0=−70 deg

8 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical, classical Yaroshevskii's, and numerical altitude solutions: (a) γ0=−10 deg (b) γ0=−70 deg

9 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of percentage relative errors of the altitude solutions: (a) γ0=−10 deg (b) γ0=−70 deg

10 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of percentage relative errors of the altitude solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

11 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of percentage relative errors of the flight path angle solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

12 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical, classical Yaroshevskii's, and numerical deceleration solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

13 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical, classical Yaroshevskii's, and numerical stagnation-point heat rate solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

14 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical, classical Yaroshevskii's, and numerical stagnation-point heat rate solutions: (a) γ0=−10 deg and (b) γ0=−70 deg

15 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical, classical Allen–Eggers, and numerical altitude solutions: (a) γ0=−5 deg (b) γ0=−70 deg

16 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of percentage relative errors of the altitude solutions: (a) γ0=−5 deg (b) γ0=−70 deg

17 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical, classical Allen–Eggers, and numerical flight path angle solutions: (a) γ0=−5 deg and (b) γ0=−70 deg

18 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of percentage relative errors of the flight path angle solutions: (a) γ0=−5 deg and (b) γ0=−70 deg

19 Date of download: 11/2/2017 Copyright © ASME. All rights reserved. From: Improved Perturbative Solution of Yaroshevskii's Planetary Entry Equation J. Comput. Nonlinear Dynam. 2016;11(5): doi: / Figure Legend: Comparison of analytical, classical Allen–Eggers, and numerical deceleration solutions: (a) γ0=−5 deg and (b) γ0=−70 deg


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