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2:1 resonances to Earth (Read 2080 times)
frankuitaalst
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2:1 resonances to Earth
10/10/10 at 13:09:28
 
In the Baut forum there's a post about asteroid 2009 BS5 , which is beleives to be in a 2:1 resonance to Earth , having also a period of 2:00 years .  
The asteroid indeed has a  period of 2:00 years but it will loose its resonance in a few years .  
Are there "true" 2:1 resonators to Earth ?  
In order to find out I've searched the NEA database for NEA asteroids having a period of 2:00 years and found these :  
 
136773 (1996 TR6)
(2009 BS5)
(2010 KK37)
(2008 FH)
(2008 BS2)
162038 (1996 DH)
(2008 GG2)
(2006 UP)
(2009 TM8)
(2010 RV11)
(2008 YL2)
(2004 FG11)
(2004 DD)
 
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frankuitaalst
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Re: 2:1 resonances to Earth
Reply #1 - 10/10/10 at 13:17:47
 
Integrating the orbits of  the above asteroids over 400 years from now some of the above asteroids come very close to a real resonance , others loose their period quickly . The 6 asteroids listed hereonder seem to exhibit a real 2:1 mean motion resonance for the next 400 years . The varition of their orbits as function of time is shown in the animation herunder :  
(2008 FH) : green                    
(2008 BS2) : yellow      
(1996 DH)      : red  
(2010 RV11) : blue      
(2008 YL2) : grey            
(2004 DD)       : white      
The orbit of earth/moon is represented as the blue/white "circle" outside the yellow orbit of venus .  
All the asteroids have eccentric orbits , only a few don't cross Earht' orbit .            
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6_asteroids_21_resonanxce_Earth_Above.gif
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frankuitaalst
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Re: 2:1 resonances to Earth
Reply #2 - 10/10/10 at 13:29:58
 
Hereunder is an animation of the orbits of the above 6 asteroids in rotating frame to Earth.  
All of them show a specific dynamical pattern.  
2008YL2 (in grey) , which isn't really in resonance now comes is libration resonence after a close encounter with Venus in the future .
2008 FH ( in green) , librates strongly , but will loose its resonance in about 400 years .    
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6_Asteroids_21_to_Earth_Rot.gif
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