iction ▁Records ▁albums ▁Category : Is land ▁Records ▁albums ▁Category : The ▁N aked ▁and ▁Fam ous ▁albums ▁Category : Rep ublic ▁Records ▁albums <0x0A> </s> ▁In ▁classical ▁mechan ics , ▁the ▁Ke pler ▁problem ▁is ▁a ▁special ▁case ▁of ▁the ▁two - body ▁problem , ▁in ▁which ▁the ▁two ▁bodies ▁interact ▁by ▁a ▁central ▁force ▁F ▁that ▁var ies ▁in ▁strength ▁as ▁the ▁inverse ▁square ▁of ▁the ▁distance ▁r ▁between ▁them . ▁ ▁The ▁force ▁may ▁be ▁either ▁attract ive ▁or ▁rep uls ive . ▁ ▁The ▁problem ▁is ▁to ▁find ▁the ▁position ▁or ▁speed ▁of ▁the ▁two ▁bodies ▁over ▁time ▁given ▁their ▁masses , ▁positions , ▁and ▁veloc ities . ▁ ▁Using ▁classical ▁mechan ics , ▁the ▁solution ▁can ▁be ▁expressed ▁as ▁a ▁Ke pler ▁orbit ▁using ▁six ▁orb ital ▁elements . ▁ ▁The ▁Ke pler ▁problem ▁is ▁named ▁after ▁Johannes ▁Ke pler , ▁who ▁proposed ▁Ke pler ' s ▁laws ▁of ▁planet ary ▁motion ▁( which ▁are ▁part ▁of ▁classical ▁mechan ics ▁and ▁solve ▁the ▁problem ▁for ▁the ▁or bits ▁of ▁the ▁plan ets ) ▁and ▁investig ated ▁the ▁types ▁of ▁forces ▁that ▁would ▁result ▁in ▁or bits ▁obey ing ▁those ▁laws ▁( called ▁Ke pler ' s ▁inverse ▁problem ). ▁ ▁For ▁a ▁discussion ▁of ▁the ▁Ke pler ▁problem ▁specific ▁to ▁radial ▁or bits , ▁see ▁Rad ial ▁traject ory . ▁General ▁relativ ity ▁provides ▁more ▁accurate ▁solutions ▁to ▁the ▁two - body ▁problem , ▁especially ▁in ▁strong ▁gravit ational ▁fields . ▁ ▁App lications ▁The ▁Ke pler ▁problem