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1.
I I (, 1976). I :I I I I I I I (I) I I . I . , I I .
Euler solutions in the problem of the translatory-rotary motion of three rigid bodies
The present paper is a continuation of the article (Vidyakin, 1976) in which we proved the existence of Lagrange (triangle) solutions in the general problem of the translatory-rotary motion of three absolutely rigid bodies.In particular, we have found the conditions for the existence of Lagrange solutions in the case when all the bodies possess a symmetry with respect to three mutually perpendicular planes both in respect to the distribution of matter and in respect to the outward form. In this case the bodies effect simple translations along with the centres of the masses without rotation (in Lyapunov's system of coordinates).If the rigid bodies possess a symmetry in respect to the axis and to the plane, perpendicular to this axis, then the Lagrange solutions of the three floats (Duboshin, 1973), three spokes (Kondurar, 1974), three shafts (Vidyakin, 1976) types are admitted, as well as the solutions in the cases of combinations of the float, spoke and shaft-bodies (Vidyakin, 1976).Those solutions exist of certain conditions, imposed on the structure, orientation and rotation of the bodies, are observed.In the general case (there) exist particular solutions which we have termed as Near-Lagrangian.The present paper is to prove the existence of Euler (rectilinear) solutions in the problem of the translatory-rotary motion of three rigid bodies, assuming that the elementary particles of the rigid bodies are mutually attracted according to the Newtonian law.In particular, we have found the conditions for the existence of Euler solutions in the case when all the bodies possess a symmetry in respect to three mutually perpendicular planes both in respect to the distribution of matter and in respect to the outward form. In this case the bodies are so disposed in the uniformly rotating coordinate system that two symmetry planes concur while the centres of the masses are disposed on one straight line.In particular, if the bodies possess a symmetry in respect to the axis and to the plane perpendicular to this axis, then the Euler solutions of the three floats (Duboshin, 1973), three spokes, three shafts types as well as solutions in the cases of combinations of float-, spoke- and shaft-bodies and spheres, either homogeneous or possessing a spherically symmetric distribution of densities, are admitted.The paper gives exact solutions for the cases when the attraction force function of the bodies has an approximate expression.相似文献
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The ratios I(K
1)/I(H
1) and I(K
3)/I(H
3) were calculated from four semi-empirical models of sunspot umbra. We determined the dependencies of both ratios of such parameters as temperature gradient and atmospheric opacity. A certain influence on the expected ratios I(K
1)/I(H
1) and I(K
3)/I(H
3) can also come from the FIP effect provided it exists in the chromosphere above sunspot umbra. Theoretical and observed values of I(K
1)/I(H
1) and I(K
3)/I(H
3) are compared. It is shown that for one of the sunspots we observed, the values obtained for the ratio I(K
1)/I(H
1) cannot be explained in terms of existing umbra models. 相似文献
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Imaging spectroscopy of the Sun was carried out at the California State University Northridge San Fernando Observatory using an InGaAs near-IR video camera. Using the Sii 1082.71 nm and Hei 1083.03 nm lines the Evershed effect is measured simultaneously in the photosphere and the chromosphere for three sunspots; the speed of the Evershed flow is measured to be between 3 to 8 times greater in the Hei line than in the Sii line, and the direction is radially inward in the chromosphere and outward in the photosphere. Telluric absorption lines prevented a meaningful measurement of Oi 1128.7 nm limb emission, but an upper limit of 20×10–3 B is measured for chromospheric limb emission at Oi 1316.3 nm. Zeeman splitting in Fei 1564.9 nm was observed in six sunspot umbrae, and a linear relationship between magnetic field and umbral continuum intensity is confirmed. 相似文献
4.
从射电结构的角度评述了ＢＬＬａｃ天体和ＦＲ－Ｉ射电星系的统一模型的最新进展，内容包括射电结构，延展射电光度（Ｐｅｘｔ），最大角尺度（ＬＡＳ），射电核主导系数（ｆ）的比较以及对相对论聚束的测试。最新的射电观测资料表明ＸＢＬｓ是介于ＦＲ－Ｉ和ＲＢＬｓ之间的过渡型天体，这对ＢＬＬａｃ天体是聚束的ＦＲ－Ｉ射电星系提供了一个很好的证据。 相似文献
5.
《时间频率公报》1994,(2)
1 994年 2月 日 O3 O7 18 2O 22 23 25 开始START (UT) 0412 0451 0536 0109 0220 0140 0354极大MAX(UT)0418045605460 1 38024101500430结束END(UT)0455052506200425032002200550级别IMP SPA LF△甲(拌s)△甲(拼s)一0 .7一0.9一0 .2一0.3一0 .3一0.4一8 .2一1 0.8一0 .8一0.7一0 .8一0.9一0 .6一0.9SPAVLF△甲(拜s)1一1一1一3+1一1一1一 SFA LF△A(dB) 一3 .4一0.一1。一52 0一5 .0,+1 0.7 一13 一1 .9 一2 .4注:“一”为缺测。I.低频甚低频传播突然扰动~~… 相似文献
6.
《时间频率公报》1994,(3)
1994年 3月 日 02 03 03 04 04 04 04 04 04 04 开始START (UT) 0355 0208 0336 0145 0206 0238 0302 0315 0430 0610极大MAX(UT)0403021503420151021502420306032904360615结束END(UT)0415025004200206D0238D0302D0315D040OD0455D0635D级别IMP SPA LF△甲(拼s)△甲(拼s)一0.2一0.2一4 .0一4.9一0 .7一0.8一0 .4一0.4一0 .8一0.9一0 .6一0.7一0 .7一0.8一1 .3一1.4一0.2一0.3一0.4一0.6SPAVLF△甲(拌s)l一21一1一1一l一1一11一1一一3一8 0一6一7 0一4 SFA LF△A(dB) 一0 .9 一12.0 一2 .4 一1 .7 一3 .0 一2 .1 一2 .4 … 相似文献
7.
《时间频率公报》1994,(9)
994年 9月极大MAX(UT)04220153040004310313结束END(UT)05020210U0415D05050335级别IMPSPAVLF△甲(科s)八6 00 开始START (IJT) 0410 0145 0347 O选25 03041一1一1一1一1一 SPA LF△?(拼s)△?(拼s)一0.6一O。7一0 .3一0.2一0 .2一0.2一0 .3一0.3一0、4一0 .4 SFA LF△A(dB) +5 .0 0 0一0.一0.日03 01 01 0102一一﹃.1今自1上041000500124042201030140050202150200U一0 .6一3 .7一08一0 .7一4 .5一0 .6一1 .5+2 .1一0 .6八j内勺000 00I.低频甚低频传播突然扰动~~… 相似文献
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《时间频率公报》2003,(7)
2003年 7月 日 开始引叭又r绷组1人田SPA工J、SPA SFAVLF LF(UT)仰(娜)匆(脾)匆(牌)从(dB) +1 .4 一0 .8 一1 .0 +3 .4一0 .9,+3.9咤J QO哎口47,几n甘2 4.7一一一一一qJ︵11甘介“︸2门」,几月工,几2尹O一一一一一 一十,几,几弓且,‘内」0554011605120913加2506070132011909230036门,︸月呼月片心」OD工妞DO矛QO7,一U︵11︸n﹄nUZ一+一一十沪O‘.In﹄了O‘.10 2 j.二,人2一一一一一护On甘n甘护O‘.几 .…,几UZ月1 J.12 一一一一一03350433010()02260402O努4伙4501080236041106400100U055009180200040005210140U0255例43︸… 相似文献
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《时间频率公报》1997,(11)
1997年 11月 日 04 04 04 04 04 开始START (UT) 0130 0220 0235 03肠 0411极大MAX(UT)014002270245·03560420结束END(UT)0220D0235D0335D04llD0522级别IMP3一1+21十1+ SPA LF△中(拌s)△仇(拌s) 一4。4一6.3 一1。6一2。1 一3.7一4.8 一1 .8一2.3 一1 .8一2.3 SPA SFA VLF LF△甲(拼s)△A(dB) 一一2。9,+0.8 一+1 .9 一+9.2 一一1 .5,+1.9 一+5 .2月块0,自0连‘11叮‘,曰1孟,孟一一一一一 ++1二内J,性一,孟1占05270556065502400358053606010606025604050555D06苏SD070OU03250450一1。9一9。9一2 .4一1 .2一1 .7一一2.… 相似文献
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《时间频率公报》1995,(4)
1995年 4月 开始START (UT) 0134 0341 0340 0405 0424极大MAX(UT)01550353034504150437结束END(UT)0230041404100424D0610级别IMP SPA LF△甲(娜)铆(拌s) 一O。8一0.6 一0.3一0.3 一O。9一O。9 一l。5一1 .6 一2.8一3。0 SPA SFA VLF LF△甲(娜)△A(dB) 一一1。7 一一1。2 一一3。8 一一5。5 一一1。5, 2。1一一一 一 ,人1山,上,占1占1占,曰日13 13 19 222201400200015002200200D0400一O。6一5。4一0。5一5。7 一1。7一4.3, 5。1,︺q曰,臼,曰I.低频甚低频传播突然扰动~~… 相似文献
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《时间频率公报》1995,(3)
1995年3月 开始START (UT) 0340 0405 0347 0420 0135极大MAX(UT)03450500035904350153结束END(U,)041丁06二一044005450220U级别IMP SPA LF却(娜)仰(娜) 一O。4一0.4 一0.9一O。8 一0.7一0.8 一0。3、一0。4 一0.9一0.8SPAVLF△,(娜) SFA LF △A(dB)一1。2, 0.9 一0.8 一1。4 1 .7 一卜4一一一一一一一一一,上喃.人,生1人一.上,.人,.人1人1占,.山,人日07 08 15 212201220606012706460008012706170132065400130200065办015507350025一1。3一0.4一0。5一0。8一O。6一1。5一0。6一0。5一1。2一O。7一5。5一1 .8一1。8一1。4… 相似文献