求解一道高中物理题，天体的问题，第四题
\u9ad8\u4e2d\u7269\u7406\u5929\u4f53\u9898\u76ee\u6c42\u89e3\u5bf9\u5730\u7403\uff1a\u8bbe\u60f3\u5728\u5730\u7403\u8868\u9762\u6709\u4e00\u4e2a\u8d28\u91cf\u4e3am\u7684\u7269\u4f53\uff0c\u7531\u4e07\u6709\u5f15\u529b\u7b49\u4e8e\u91cd\u529b\uff0c\u5f97
GM\u5730*m / R\u5730^2\uff1dm*g0
\u5f97\u3000g0\uff1dGM\u5730 / R\u5730^2
\u540c\u7406\uff0c\u5bf9\u661f\u4f53\uff1a\u8bbe\u60f3\u5728\u661f\u4f53\u8868\u9762\u6709\u4e00\u4e2a\u8d28\u91cf\u662fm1\u7684\u7269\u4f53\uff0c\u7531\u4e07\u6709\u5f15\u529b\u7b49\u4e8e\u91cd\u529b\uff0c\u5f97
GM\u661f*m1 / R\u661f^2\uff1dm1*g
\u5f97\u3000g\uff1dGM\u661f / R\u661f^2
\u6240\u4ee5\uff0c\u3000g / g0\uff1d\uff08M\u661f / R\u661f^2\uff09/\uff08M\u5730 / R\u5730^2\uff09\uff1d\uff08M\u661f / M\u5730\uff09/\uff08R\u661f^2 / R\u5730^2\uff09
\uff1d\uff08M\u661f / M\u5730\uff09/\uff08R\u661f / R\u5730\uff09^2\uff1d\uff082 / 1\uff09/ [ (\u6839\u53f72) / 1 ] ^2\uff1d1 / 1
\u5f97\u3000g\uff1dg0
在t0时间内，地球围绕太阳转了t0/T圈，而火星转了t0/T'圈。
火星必须比地球多转一圈才能追上地球，所以
t0/T = t0/T' + 1
T' = t0×T/(t0-T)
绛旓細鍥犱负鍝堥浄褰楁槦鐨勮建閬撳崐闀胯酱鏄湴鐞冭建閬撶殑18鍊嶏紝鏍规嵁寮鏅嫆绗笁瀹氬緥锛岄偅涔堝懆鏈熺殑骞虫柟涓庡崐闀胯酱鐨勭珛鏂规垚姝ｆ瘮锛屾墍浠ュ搱闆峰綏鏄熺殑鍛ㄦ湡绾︿负锛歍=(18^3)^(1/2)=76.4(骞),鎵浠ヤ笅娆￠杩戝湴鐞冩槸1986+76=2062(骞)锛屽洜姝ょ瓟妗堟槸2062骞
绛旓細瑙ｆ硶1锛氳:鐗╀綋涓庡崼鏄熶腑鐨勬敮鎸佺墿鐨勭浉浜掓尋鍘嬪姏涓90N鏃,璇ラ珮搴︾殑閲嶅姏鍔犻熷害涓篻鈥.鐗╀綋鍦ㄥ湴鐞冭〃闈笂鍙楀埌鐨勯噸鍔沵g=160N m=160/10=16kg 褰撶墿浣撲笌鍗槦涓殑鏀寔鐗╃殑鐩镐簰鎸ゅ帇鍔涗负90N鏃讹紝90-mg鈥=ma=mg/2 mg鈥=10N 鍦ㄥ湴闈笂锛孏Mm/(R²)=mg鈶 鍦ㄥ崼鏄熶笂锛孏Mm/[(R+H)²]=mg鈥欌憽 ...
绛旓細楂樿鐗╃悊澶╀綋杩愬姩鍏紡 锛1寮鏅嫆绗笁瀹氬緥锛歍2/R3=K(=4蟺2/GM){R:杞ㄩ亾鍗婂緞锛孴:鍛ㄦ湡锛孠:甯搁噺(涓庤鏄熻川閲忔棤鍏筹紝鍙栧喅浜庝腑蹇澶╀綋鐨璐ㄩ噺)锝 2.涓囨湁寮曞姏瀹氬緥锛欶=Gm1m2/r2 (G=6.67脳10-11Nm2/kg2锛屾柟鍚戝湪瀹冧滑鐨勮繛绾夸笂)3.澶╀綋涓婄殑閲嶅姏鍜岄噸鍔涘姞閫熷害锛欸Mm/R2=mg;g=GM/R2 {R:澶╀綋鍗婂緞(m)锛...
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