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Simulation of orbit RKA3 from Table 1 with the ...

Generalized, Energy-conserving Numerica...

Simulation of orbit RKA3 from Table 1 with the RK4 method (red line, top left), IMR sche...

The Astrophysical Journal Supplement Series 240 2 40

Simulation of orbit RKA3 as in Figure 1, projec...

Generalized, Energy-conserving Numerica...

Simulation of orbit RKA3 as in Figure 1, projected onto the φ = 0 plane, obtained with t...

The Astrophysical Journal Supplement Series 240 2 40

Trajectory in the θ-coordinate for orbit RKA3 s...

Generalized, Energy-conserving Numerica...

Trajectory in the θ-coordinate for orbit RKA3 simulated with the four methods and Δt = 1...

The Astrophysical Journal Supplement Series 240 2 40

Simulation of the regular orbit RSA5 with Δt = ...

Generalized, Energy-conserving Numerica...

Simulation of the regular orbit RSA5 with Δt = 1 until t = 100,000. The left panel shows...

The Astrophysical Journal Supplement Series 240 2 40

Simulation of the chaotic orbit CKI2 with Δt = ...

Generalized, Energy-conserving Numerica...

Simulation of the chaotic orbit CKI2 with Δt = 0.1 until t = 5000. The left panel shows ...

The Astrophysical Journal Supplement Series 240 2 40

The regular orbit of a charged particle around ...

Generalized, Energy-conserving Numerica...

The regular orbit of a charged particle around a Kerr black hole in a dipolar field. The...

The Astrophysical Journal Supplement Series 240 2 40

The chaotic orbit of a charged particle around ...

Generalized, Energy-conserving Numerica...

The chaotic orbit of a charged particle around a Kerr black hole in a dipolar field. The...

The Astrophysical Journal Supplement Series 240 2 40

Evolution of the relative error in the conserve...

Generalized, Energy-conserving Numerica...

Evolution of the relative error in the conserved energy (top panels) and angular momentu...

The Astrophysical Journal Supplement Series 240 2 40

Representation in three-dimensional space of th...

Generalized, Energy-conserving Numerica...

Representation in three-dimensional space of the unstable spherical orbits B (left panel...

The Astrophysical Journal Supplement Series 240 2 40

Evolution of the relative error in the initial ...

Generalized, Energy-conserving Numerica...

Evolution of the relative error in the initial radius for orbit B (left panel) and D (ri...

The Astrophysical Journal Supplement Series 240 2 40

Evolution of the relative error in the conserve...

Generalized, Energy-conserving Numerica...

Evolution of the relative error in the conserved angular momentum (top panels) and the C...

The Astrophysical Journal Supplement Series 240 2 40

Evolution of the relative error in the conserve...

Generalized, Energy-conserving Numerica...

Evolution of the relative error in the conserved energy (top panels) and angular momentu...

The Astrophysical Journal Supplement Series 240 2 40

Spatial distribution of the dimensionless ...

Generalized, Energy-conserving Numerica...

Spatial distribution of the dimensionless ﹩\beta =2p/{B}^{2}﹩ and σ = B2/ρ (left panel) ...

The Astrophysical Journal Supplement Series 240 2 40

Close-up view of the central region near the ev...

Generalized, Energy-conserving Numerica...

Close-up view of the central region near the event horizon of the compact object. The bl...

The Astrophysical Journal Supplement Series 240 2 40

Hammer–Aitoff equal-area projection of the sphe...

Astrometry and Occultation Predictions ...

Hammer–Aitoff equal-area projection of the sphere for the TNOs (blue dots) and Centaurs ...

The Astronomical Journal 157 3 120

Difference (black lines) in R.A. (left panel) a...

Astrometry and Occultation Predictions ...

Difference (black lines) in R.A. (left panel) and decl. (right panel) between the orbit ...

The Astronomical Journal 157 3 120

Positional uncertainty as a function of the mag...

Astrometry and Occultation Predictions ...

Positional uncertainty as a function of the magnitude and the number of observations in ...

The Astronomical Journal 157 3 120

Detection efficiency as a function of the magni...

Astrometry and Occultation Predictions ...

Detection efficiency as a function of the magnitude. No constraints on image quality are...

The Astronomical Journal 157 3 120

Distribution of the TNOs and Centaurs whose orb...

Astrometry and Occultation Predictions ...

Distribution of the TNOs and Centaurs whose orbits were refined (red circles, orange dia...

The Astronomical Journal 157 3 120

Example of prediction result and orbit refineme...

Astrometry and Occultation Predictions ...

Example of prediction result and orbit refinement for TNO (137295) 1999 RB216. Panel (a)...

The Astronomical Journal 157 3 120

Shifting and stacking of individual images alon...

Fast Algorithms for Slow Moving Asteroi...

Shifting and stacking of individual images along the asteroid’s trajectory creates a sin...

The Astronomical Journal 157 3 119

Visualization of the many trajectories that mus...

Fast Algorithms for Slow Moving Asteroi...

Visualization of the many trajectories that must be searched in order to cover a defined...

The Astronomical Journal 157 3 119

Left: change in light curve when an image with ...

Fast Algorithms for Slow Moving Asteroi...

Left: change in light curve when an image with an outlier flux is removed from the light...

The Astronomical Journal 157 3 119

Left: stamps that passed the light curve filter...

Fast Algorithms for Slow Moving Asteroi...

Left: stamps that passed the light curve filter and the image moment filter. Right: stam...

The Astronomical Journal 157 3 119

Semimajor axis vs. inclination for detected obj...

Fast Algorithms for Slow Moving Asteroi...

Semimajor axis vs. inclination for detected objects with the range of different KBO popu...

The Astronomical Journal 157 3 119

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