H25 - Masses - V4¶
Warning
The Masses as well as the Center of Mass positions taken in account in the robot models have been updated in order to remove the slight dissymmetry between left and right limbs.
Legend¶
This page details, for each solid (S) of a robot, the Mass, Center of Mass and Inertial matrix.

![\text{CoM(S)} = \left[\begin{array}{c}
X_G \\ Y_G \\ Z_G
\end{array} \right]_{(o, R)} \text{(m)}](../../_images/math/24330a4dd46550ba4b30a2117a2f2a91acbf88de.png)
![\left[I_o(S)\right]_R = \left[\begin{array}{ccc}
I_{xx} & I_{xy} & I_{xz} \\
I_{yx} & I_{yy} & I_{yz} \\
I_{zx} & I_{zy} & I_{zz}
\end{array}\right]_R (\text{kg}*\text{m}^2)](../../_images/math/b9079a9d4c4d9fed9f05d8f905812260c08c86b5.png)
The Center of Mass position and the Inertial matrix are described relative to the local coordinate system of the current solid (S) (o, R).
All solids (S) and local coordinate system are described relative to the zero posture: standing with straight legs and arms pointing forwards.
Whole robot¶



![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00413\\
0\\
0.04342
\end{array}
\right]_{(o, R)}](../../_images/math/b5080e7ec4a3f663e74e49cf12a5edf89acfe259.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.0050623407587 & 1.4311580344e-05 & 0.00015519082081\\
1.4311580344e-05 & 0.0048801358789 & -2.7079340725e-05\\
0.00015519082081 & -2.7079340725e-05 & 0.001610300038\\
\end{array}
\right]_R](../../_images/math/d841cf4027de0e00f76c373a34ccf9f180504729.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-1e-05\\
0\\
-0.02742
\end{array}
\right]_{(o, R)}](../../_images/math/cee0db94b6bb09199719c47cea94893147c9a594.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
7.4992953159e-05 & 1.5700000189e-09 & -1.8339999741e-08\\
1.5700000189e-09 & 7.5999952969e-05 & -5.294999994e-08\\
-1.8339999741e-08 & -5.294999994e-08 & 5.5337300182e-06\\
\end{array}
\right]_R](../../_images/math/d1ec7e8fc332cc87f903514f3f3a44dbbbcd135f.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00112\\
0\\
0.05258
\end{array}
\right]_{(o, R)}](../../_images/math/c8289b6de4a57f6f59ac4281785caa222ca27f09.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.0026312952396 & 8.788139894e-06 & 4.0984661609e-05\\
8.788139894e-06 & 0.0024911249056 & -2.995792056e-05\\
4.0984661609e-05 & -2.995792056e-05 & 0.00098573567811\\
\end{array}
\right]_R](../../_images/math/3265a4b9636c9be86df12b4d84d31f4a25cb30d7.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00165\\
0.02663\\
0.00014
\end{array}
\right]_{(o, R)}](../../_images/math/630883efbb1b58a8269764de85abd3261bdc5e16.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
8.4284300101e-05 & 2.0280199351e-06 & 2.3380000158e-08\\
2.0280199351e-06 & 1.4155610188e-05 & 1.9719999855e-08\\
2.3380000158e-08 & 1.9719999855e-08 & 8.6419488071e-05\\
\end{array}
\right]_R](../../_images/math/4dd48cfbae2778fed99eebe461921067c03b83e1.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00165\\
-0.02663\\
0.00014
\end{array}
\right]_{(o, R)}](../../_images/math/012e9af83e62e74926cc9472953461225954e804.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
8.4284300101e-05 & -2.0280199351e-06 & 2.3380000158e-08\\
-2.0280199351e-06 & 1.4155610188e-05 & -1.9719999855e-08\\
2.3380000158e-08 & -1.9719999855e-08 & 8.6419488071e-05\\
\end{array}
\right]_R](../../_images/math/8b5eaa9fe293825bbdbb2556dd658c2cc6a86452.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
0.02455\\
-0.00563\\
0.0033
\end{array}
\right]_{(o, R)}](../../_images/math/709bde421834c583d1c7d889ba65a930b6991be6.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.00011012030882 & 7.6691307186e-05 & -2.6046069252e-05\\
7.6691307186e-05 & 0.00036757651833 & 1.2098280422e-05\\
-2.6046069252e-05 & 1.2098280422e-05 & 0.00035461771768\\
\end{array}
\right]_R](../../_images/math/ee00ccbd8acb193d06a66908c19116064de52e24.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
0.02455\\
0.00563\\
0.0033
\end{array}
\right]_{(o, R)}](../../_images/math/98b8da71619b400ff2695414e5d35d2d6d106041.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
9.3899929198e-05 & -4.7144520067e-05 & -2.6994710424e-05\\
-4.7144520067e-05 & 0.00037151877768 & -2.4597700303e-06\\
-2.6994710424e-05 & -2.4597700303e-06 & 0.00034190082806\\
\end{array}
\right]_R](../../_images/math/3b527291f40ae27d93abc5fec0a35a047277c451.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.02744\\
0\\
-0.00014
\end{array}
\right]_{(o, R)}](../../_images/math/e32203d8b7bdbcd32cc580fb046d1c160f0b5466.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
5.5971499933e-06 & 4.2099999042e-09 & 4.3189999133e-08\\
4.2099999042e-09 & 7.5433119491e-05 & -1.8400000412e-09\\
4.3189999133e-08 & -1.8400000412e-09 & 7.6443393482e-05\\
\end{array}
\right]_R](../../_images/math/a2b326114a5852252630cb2e0d2b1d49509b6cc1.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
0.02556\\
-0.00281\\
0.00076
\end{array}
\right]_{(o, R)}](../../_images/math/7f93a386fd2de9755ef7d70d549cf4646a8b7989.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
2.5390700102e-05 & 2.3324300855e-06 & -6.0116997247e-07\\
2.3324300855e-06 & 8.9220360678e-05 & 2.6940000453e-08\\
-6.0116997247e-07 & 2.6940000453e-08 & 8.7248430646e-05\\
\end{array}
\right]_R](../../_images/math/5dbcd30b37795808fbfb08ce5d09ab370d47088e.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
0.02556\\
0.00281\\
0.00076
\end{array}
\right]_{(o, R)}](../../_images/math/68a8fb61fc28940418a3619c4787c4af4424995e.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
2.5332199584e-05 & -2.3427101041e-06 & 7.4589998178e-08\\
-2.3427101041e-06 & 8.91321979e-05 & -2.6549999532e-08\\
7.4589998178e-08 & -2.6549999532e-08 & 8.7287262431e-05\\
\end{array}
\right]_R](../../_images/math/aea75412f4cb4212ae62565ec939ef363a7eb4ef.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
0.03434\\
0.00088\\
0.00308
\end{array}
\right]_{(o, R)}](../../_images/math/533f1a11654a37365cf56d3acdeb6779d99cefbf.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
7.0549329394e-05 & 5.715990028e-06 & -2.247437078e-05\\
5.715990028e-06 & 0.0003560623154 & 3.1777099139e-06\\
-2.247437078e-05 & 3.1777099139e-06 & 0.00035191932693\\
\end{array}
\right]_R](../../_images/math/12167afe1344d1e11bca33ba8c3f807b94678091.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
0.03434\\
-0.00088\\
0.00308
\end{array}
\right]_{(o, R)}](../../_images/math/76f1855dbf91ba7d847da939a2f6eaf2f3a9172b.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00781\\
0.01114\\
0.02661
\end{array}
\right]_{(o, R)}](../../_images/math/6f7b1c61a442b4a2149d1c36e29a723d04893bff.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
8.9971952548e-05 & 5.0021899369e-06 & 1.2735249584e-05\\
5.0021899369e-06 & 0.00010552610911 & -2.7700800274e-05\\
1.2735249584e-05 & -2.7700800274e-05 & 6.6887238063e-05\\
\end{array}
\right]_R](../../_images/math/6b1cf11ac8d4183061f386f8efe64e3b2f2ec7c6.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
-0.00781\\
-0.01114\\
0.02661
\end{array}
\right]_{(o, R)}](../../_images/math/cb18dfc8db2e5154947e0f6c717c27b871eb8672.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
8.1502330431e-05 & -4.9944901548e-06 & 1.2748169866e-05\\
-4.9944901548e-06 & 0.00010132555326 & 2.3454740585e-05\\
1.2748169866e-05 & 2.3454740585e-05 & 6.2623628764e-05\\
\end{array}
\right]_R](../../_images/math/eb1d7003d089f9705e7977e60d5a514d047815ca.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
-0.01549\\
-0.00029\\
-0.00515
\end{array}
\right]_{(o, R)}](../../_images/math/5e9f4880ac66a3ccd39fd694a65fe758b8f3a4ef.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
2.7586540455e-05 & -1.91900007e-08 & -4.108219855e-06\\
-1.91900007e-08 & 9.8269956652e-05 & 2.5099999856e-09\\
-4.108219855e-06 & 2.5099999856e-09 & 8.8103319285e-05\\
\end{array}
\right]_R](../../_images/math/63679c8553521fa7aac9456e43f7cb6ee021c2c9.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
-0.01549\\
0.00029\\
-0.00515
\end{array}
\right]_{(o, R)}](../../_images/math/2c9c3367772f87fb31b438788038e7a03f246229.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
2.7583539122e-05 & -2.2329999183e-08 & -4.0816398723e-06\\
-2.2329999183e-08 & 9.8270553281e-05 & -4.1899999026e-09\\
-4.0816398723e-06 & -4.1899999026e-09 & 8.8099732238e-05\\
\end{array}
\right]_R](../../_images/math/f733481cf35b2d591651145e8fe755b991eac63e.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
0.00138\\
-0.00221\\
-0.05373
\end{array}
\right]_{(o, R)}](../../_images/math/44e89d5e51cb34b47b4384d64af544e6c6ef2788.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.0016374820843 & -8.3954000729e-07 & 8.5883009888e-05\\
-8.3954000729e-07 & 0.0015922139864 & -3.9176258724e-05\\
8.5883009888e-05 & -3.9176258724e-05 & 0.00030397824594\\
\end{array}
\right]_R](../../_images/math/16fe70d42e50afefe50b8fb4584768c62ee9ffdc.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
0.00138\\
0.00221\\
-0.05373
\end{array}
\right]_{(o, R)}](../../_images/math/6607e752b2e5d40b9c8da07e8ae2ac6269e7ac14.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.001636719564 & 9.2451000455e-07 & 8.5306681285e-05\\
9.2451000455e-07 & 0.001591072767 & 3.8361598854e-05\\
8.5306681285e-05 & 3.8361598854e-05 & 0.00030374340713\\
\end{array}
\right]_R](../../_images/math/391c6f0506a1b7357c029213dc86543a89cc7c88.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
0.00453\\
-0.00225\\
-0.04936
\end{array}
\right]_{(o, R)}](../../_images/math/cafdf0aaad21a33ee37f7915b94f63eda310c3f3.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.0011828296119 & -8.96500012e-07 & 2.7996900826e-05\\
-8.96500012e-07 & 0.0011282785563 & -3.8476038753e-05\\
2.7996900826e-05 & -3.8476038753e-05 & 0.00019145276747\\
\end{array}
\right]_R](../../_images/math/1b6639164ba257ca1661dbfd3638f26f026a0bcb.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
0.00453\\
0.00225\\
-0.04936
\end{array}
\right]_{(o, R)}](../../_images/math/b119a54a988ca781335f2f3be72ccc13394ea934.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.0011820796644 & 6.3362000446e-07 & 3.6496971006e-05\\
6.3362000446e-07 & 0.0011286522495 & 3.949522943e-05\\
3.6496971006e-05 & 3.949522943e-05 & 0.00019322744629\\
\end{array}
\right]_R](../../_images/math/c3b2431d0893c640a2b5fa33826bdb121d7179b8.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
0.00045\\
-0.00029\\
0.00685
\end{array}
\right]_{(o, R)}](../../_images/math/0bef43f7ea16a92f9bb7fa645aeb0b6a1b83eb6a.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
3.8508129364e-05 & 6.4339999994e-08 & 3.8746597966e-06\\
6.4339999994e-08 & 7.4310817581e-05 & -4.5799999349e-09\\
3.8746597966e-06 & -4.5799999349e-09 & 5.491311822e-05\\
\end{array}
\right]_R](../../_images/math/e968a703694c758902cce0e1409ff40c0a9f7799.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
0.00045\\
0.00029\\
0.00685
\end{array}
\right]_{(o, R)}](../../_images/math/d565baf64e5cb119fd8fc605bb3161099ff09640.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
3.8509781007e-05 & -2.6340000403e-08 & 3.8619400584e-06\\
-2.6340000403e-08 & 7.4265262811e-05 & 1.8339999741e-08\\
3.8619400584e-06 & 1.8339999741e-08 & 5.4865398852e-05\\
\end{array}
\right]_R](../../_images/math/c419559177b795f88768b113110567f68a40315e.png)


![\text{CoM(S)} = \left[
\begin{array}{c}
0.02542\\
-0.0033\\
-0.03239
\end{array}
\right]_{(o, R)}](../../_images/math/7091c266dd8e944386e3a251e18af42dd07e48e4.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.00026930202148 & 5.8750501921e-06 & 0.00013913327712\\
5.8750501921e-06 & 0.00064347387524 & -1.8849170374e-05\\
0.00013913327712 & -1.8849170374e-05 & 0.00052503478946\\
\end{array}
\right]_R](../../_images/math/ad6c2c532616c821602d8caa7bd8b597876ae874.png)
![\text{CoM(S)} = \left[
\begin{array}{c}
0.02542\\
0.0033\\
-0.03239
\end{array}
\right]_{(o, R)}](../../_images/math/cebbca3f2fa21e8e2849a799931faf5bbccfb6ef.png)
![\left[I_o(S)\right]_R = \left[
\begin{array}{ccc}
0.00026944180718 & -5.6957201195e-06 & 0.00013937948097\\
-5.6957201195e-06 & 0.00064434250817 & 1.8740920495e-05\\
0.00013937948097 & 1.8740920495e-05 & 0.00052575673908\\
\end{array}
\right]_R](../../_images/math/b10d3938c7b5a216203fc00b9bc0b18f3455aa67.png)