FzzXIP25S'_[˘8)T?€3˙“˙˙HomeBpC|Ă˙˙InertialC:ŞŞCŽĂ9RotatingC:ŞŞCŽĂ9Zoom on Lagrange PtCŔCdÄ€'$x HHđ@˙ě˙îRd(ühh° @d'˙œ˙Ś š’˙˙InertialC:ŞŞCŽĂ9˙˙RÜV<#× 9ѡ€(?€<#× ?€9ѡ?€?€˙˙U˙˙'šÜ”…ƒŒb A‹˙˙ˆSystem Center of Mass˙˙'—Ÿ–ĽMkg?€?€Ÿ–ĽDm?€?€Ÿ–ĽĄrad?€?€Ÿ–ĽCA?€?€Ÿ–ĽKK?€?€Ÿ–Ľmmole?€?€Ÿ–ĽLcd?€?€Ÿ–ĽTs?€?€Ÿ–ÄÄŕN?€?€Ÿ–ENŕJ?€?€Ÿ–WWĐW?€?€Ÿ–CHC?€?€Ÿ–˝˝ŕŕ˝?€?€Ÿ–VlĐđV?€?€Ÿ–RVń?€?€Ÿ–Hzđ?€?€Ÿ–Spđ?€?€˜ đ/s?€?€ńrad/s?€?€ŕm/s^2?€?€đm/s?€?€m^2?€?€kg m^2?€?€óŕ N m^2/kg^2?€?€óŕ N m^2/kg^2?€?€óŕ N m^2/kg^2?€?€óŕ N m^2/kg^2?€?€óŕ N m^2/kg^2?€?€óŕ N m^2/kg^2?€?€˙˙'Ž˙˙' ˙˙'í˙˙'AőĂ?€q˙˙?€'9-self.mass*( 1.0000000e+0)/sqr(self.p-other.p)*other.massŒb A‹˙˙ˆ˙˙'î˙˙' Pö!q˙˙?€'Œb A‹˙˙ˆ˙˙'ě˙˙'@ @ q angle(self.v)?€'Œb A‹˙˙ˆ˙˙'ď˙˙'!q˙˙?€'Œb A‹˙˙ˆ˙˙'‚ÔˇˇÝk¢>LĚÍ>¸>¸˙˙˛>LĚĚ>LĚĚ^AŤTę˙°-1/(1+Input[5])$-1/sqrt(1+Input[5])*sqrt(1-Input[9])Input[5]9$ľš?€„ƒŒb A‹ˆCircle• ˙˙˛=ĚĚĚ=ĚĚĚ^qq::°1/(1+1/Input[5]).Input[5]*sqrt(1/(1+Input[5]))*sqrt(1-Input[9])?€:Ł×?€>~„ƒŒb A‹ˆCircle• ˙˙˛==^Ýk¢°1/(1+1/Input[5])-1/2 sqrt(3)/2]sqrt(Input[5]+1)*(-mass[3].p.y+(-Input[6]*mass[3].p.y+Input[7]*mass[3].p.x))*sqrt(1-Input[9])[sqrt(Input[5]+1)*(mass[3].p.x+(Input[6]*mass[3].p.x+Input[7]*mass[3].p.y))*sqrt(1-Input[9]).Űć˙([ć˙?€.š„ƒŒb A‹ˆCircle• ˙˙˛>LĚĚ>LĚĚ^ŔŔŔŔŔŔ°atan2(mass[2].p.y,mass[2].p.x).Űć˙+ źĘ!@„ƒŒb A‹˙˙ˆCircle•˙˙\BČ?€BČc@:P‰ćbA‹ˆ* Mass Ratio (Blue/Brown)@Input[5]˙˙\ż€?€c@6P‰eb A‹ˆ Tangential@Input[6]˙˙\=LĚÍż€?€c@6P‰ehb A‹ ˆRadial@Input[7]˙˙ Y*Ý˙ţZ?Fractional Velocity Perturbation of red body at Lagrange PointŔ‰-bA‹ ˆText˙˙ yAőý˙˙˙˙˙˙‰Ąb A‹ ˆ Button 12˙˙ yDőü˙˙˙˙˙˙‰ĄHb A‹ˆ Button 13˙˙Yz˙ţZReference Framen‰‹bA‹ˆText˙˙ywőű˙˙˙˙˙˙‰¸ b A‹ˆZoom on Lagrange Pt˙˙Y.đ˙ţZExamine the stability of the L4 (or 5) point to varying velocity perturbations with different mass ratios for the primary gravitating bodies.‰cb A‹ˆText˙˙y? ˙˙˙˙˙˙‰žb‹ˆ Button 18˙˙y?˙˙˙˙˙˙‰žb‹ ˆ Button 19˙˙ŠÜ”…ƒŒb A‹˙˙ˆAnchor˙˙ \>LĚÍ?™š B<P‰bA‹ ˆ Orbital Eccentricity@Input[9]˙˙ x˙˙?€'ąą˙˙˙˙^˜ ‚ Œ Œ ˙˙˙˙^˜ A ^˜H AQ‹ ˙˙˙˙˙˙˙˙H Ą– Ąš 4H, Geneva .+&Š 1997  —Ą– Ąš- (@o* A. J. Mallinckrodt  —Ą– Ąš˙ü- 4@o* Cal Poly Pomona —Ą– Ąš˙ű7  (Lagrange Point —Ą– Ąš˙ü3 @Lz +5(Inspired by A.F.Burr) —  ƒ˙{_™‰b A‹˙˙ˆPicture˙˙