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About: Constant of motion
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title="Switch to /sparql endpoint"><i class="bi-box-arrow-up-right"></i> Sparql Endpoint </a> </li> </ul> </div> </div> </nav> <div style="margin-bottom: 60px"></div> <!-- /navbar --> <!-- page-header --> <section> <div class="container-xl"> <div class="row"> <div class="col"> <h1 id="title" class="display-6"><b>About:</b> <a href="http://dbpedia.org/resource/Constant_of_motion">Constant of motion</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> <span class="text-nowrap">An Entity of Type: <a href="http://dbpedia.org/class/yago/Abstraction100002137">Abstraction100002137</a>, </span> <span class="text-nowrap">from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, </span> <span class="text-nowrap">within Data Space: <a href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">In mechanics, a constant of motion is a quantity that is conserved throughout the motion, imposing in effect a constraint on the motion. However, it is a mathematical constraint, the natural consequence of the equations of motion, rather than a physical constraint (which would require extra ). Common examples include energy, linear momentum, angular momentum and the Laplace–Runge–Lenz vector (for inverse-square force laws).</p> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbo:abstract" lang="en" >In mechanics, a constant of motion is a quantity that is conserved throughout the motion, imposing in effect a constraint on the motion. However, it is a mathematical constraint, the natural consequence of the equations of motion, rather than a physical constraint (which would require extra ). Common examples include energy, linear momentum, angular momentum and the Laplace–Runge–Lenz vector (for inverse-square force laws).</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >運動の積分 (うんどうのせきぶん, integral of motion) とは、古典力学において、系の時間発展に際して時間変化しない物理量のこと。保存量 (conserved quantity) や恒量、運動の定数 (constant of motion)、第一積分 (first integral) あるいは単に積分とも呼ばれる。一般に力学の問題が与えられたとき、系の自由度の数に等しい数の第一積分を見出すことができれば、その問題を「解く（求積する）」ことができる（リウヴィルの定理）ため、その存在あるいは具体的な表示を調べることは力学（特に可積分系）の研究において基本的である。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ko" >운동 상수(運動常數, 영어: constant of motion)는 물리계가 어떤 운동 법칙에 따라 변화할 때, 그 궤적을 따라 일정한 값이다. 계에 따라, 에너지, 운동량, 각운동량, 라플라스-룽게-렌츠 벡터 따위가 운동 상수가 될 수 있다. 많은 경우, 운동 상수를 알면 계의 궤적을 계산하는 데 큰 도움이 된다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="nl" >In de mechanica is een bewegingsconstante of constante van de beweging een grootheid die tijdens een beweging behouden blijft, waardoor in feite een extra randvoorwaarde aan deze beweging wordt opgelegd. Het is echter een wiskundige beperking, een direct gevolg van de bewegingsvergelijkingen, en geen fysieke beperking (die zou namelijk extra "randvoorwaardekrachten" vereisen). Bekende voorbeelden van bewegingsconstanten zijn de behoudswetten voor energie, impuls, impulsmoment en de Laplace-Runge-Lenz-vector (voor omgekeerde kwadratenwetten).</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pl" >Całka ruchu – wielkość fizyczna, która jest stała podczas ruchu. O liczbie całek ruchu mówi Twierdzenie Noether. Z istnienia całek ruchu można wyprowadzić zasady zachowania. Całki ruchu są zawsze skojarzone z przekształceniami symetrii układu - każda symetria generuje całkę ruchu. Przykłady całek ruchu: * Energia całkowita: – energia nie zależy explicite od czasu * Pęd – jego zachowanie jest związane z niezmienniczością przestrzeni względem przesunięcia, * Moment pędu – jego zachowanie jest związane z niezmienniczością przestrzeni względem obrotu.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >在經典力學裏，對於一個動力系統，隨著時間的演進，所有保持不變的物理量都稱為運動常數（constant of motion），又稱為守恆量。它的作用有點類似運動的約束。可是，運動常數是數學的約束，自然地從運動方程式中顯現出來，而不是物理的約束；物理的約束會有相應的約束力來維持這約束。常見的運動常數例子有能量、動量、角動量、拉普拉斯-龍格-冷次向量。</span><small> (zh)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink"><small>dbo:</small>wikiPageExternalLink</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:wikiPageExternalLink nofollow" resource="https://archive.org/details/introductiontoel00grif_0" 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rel="rdf:type" resource="http://dbpedia.org/class/yago/Message106598915" href="http://dbpedia.org/class/yago/Message106598915"><small>yago</small>:Message106598915</a></span></li> <li><span class="literal"><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/Statement106722453" href="http://dbpedia.org/class/yago/Statement106722453"><small>yago</small>:Statement106722453</a></span></li> <li><span class="literal"><a class="uri" rel="rdf:type" resource="http://dbpedia.org/class/yago/WikicatDifferentialEquations" href="http://dbpedia.org/class/yago/WikicatDifferentialEquations"><small>yago</small>:WikicatDifferentialEquations</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment"><small>rdfs:</small>comment</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="rdfs:comment" lang="en" >In mechanics, a constant of motion is a quantity that is conserved throughout the motion, imposing in effect a constraint on the motion. However, it is a mathematical constraint, the natural consequence of the equations of motion, rather than a physical constraint (which would require extra ). Common examples include energy, linear momentum, angular momentum and the Laplace–Runge–Lenz vector (for inverse-square force laws).</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >運動の積分 (うんどうのせきぶん, integral of motion) とは、古典力学において、系の時間発展に際して時間変化しない物理量のこと。保存量 (conserved quantity) や恒量、運動の定数 (constant of motion)、第一積分 (first integral) あるいは単に積分とも呼ばれる。一般に力学の問題が与えられたとき、系の自由度の数に等しい数の第一積分を見出すことができれば、その問題を「解く（求積する）」ことができる（リウヴィルの定理）ため、その存在あるいは具体的な表示を調べることは力学（特に可積分系）の研究において基本的である。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ko" >운동 상수(運動常數, 영어: constant of motion)는 물리계가 어떤 운동 법칙에 따라 변화할 때, 그 궤적을 따라 일정한 값이다. 계에 따라, 에너지, 운동량, 각운동량, 라플라스-룽게-렌츠 벡터 따위가 운동 상수가 될 수 있다. 많은 경우, 운동 상수를 알면 계의 궤적을 계산하는 데 큰 도움이 된다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="nl" >In de mechanica is een bewegingsconstante of constante van de beweging een grootheid die tijdens een beweging behouden blijft, waardoor in feite een extra randvoorwaarde aan deze beweging wordt opgelegd. Het is echter een wiskundige beperking, een direct gevolg van de bewegingsvergelijkingen, en geen fysieke beperking (die zou namelijk extra "randvoorwaardekrachten" vereisen). Bekende voorbeelden van bewegingsconstanten zijn de behoudswetten voor energie, impuls, impulsmoment en de Laplace-Runge-Lenz-vector (voor omgekeerde kwadratenwetten).</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pl" >Całka ruchu – wielkość fizyczna, która jest stała podczas ruchu. O liczbie całek ruchu mówi Twierdzenie Noether. Z istnienia całek ruchu można wyprowadzić zasady zachowania. Całki ruchu są zawsze skojarzone z przekształceniami symetrii układu - każda symetria generuje całkę ruchu. Przykłady całek ruchu: * Energia całkowita: – energia nie zależy explicite od czasu * Pęd – jego zachowanie jest związane z niezmienniczością przestrzeni względem przesunięcia, * Moment pędu – jego zachowanie jest związane z niezmienniczością przestrzeni względem obrotu.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >在經典力學裏，對於一個動力系統，隨著時間的演進，所有保持不變的物理量都稱為運動常數（constant of motion），又稱為守恆量。它的作用有點類似運動的約束。可是，運動常數是數學的約束，自然地從運動方程式中顯現出來，而不是物理的約束；物理的約束會有相應的約束力來維持這約束。常見的運動常數例子有能量、動量、角動量、拉普拉斯-龍格-冷次向量。</span><small> (zh)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="rdfs:label" lang="en" >Constant of motion</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ko" >운동 상수</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >運動の積分</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="nl" >Bewegingsconstante</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pl" >Całka ruchu</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >運動常數</span><small> (zh)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs"><small>owl:</small>sameAs</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="owl:sameAs" resource="http://rdf.freebase.com/ns/m.0djqr2" href="http://rdf.freebase.com/ns/m.0djqr2"><small>freebase</small>:Constant of motion</a></span></li> <li><span 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