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(sec-item-markernodeode1coordinate)=
# MarkerNodeODE1Coordinate

A node-Marker attached to a {ref}`ODE1 <ODE1>` coordinate of a node.

## Interface

- Provides: `Coordinate`
- Connectors, constraints and loads that can use it: [](#sec-item-objectconnectorcoordinatespringdamper), [](#sec-item-objectconnectorcoordinatespringdamperext), [](#sec-item-objectconnectorcoordinate), [](#sec-item-objectcontactcoordinate), [](#sec-item-loadcoordinate)

## Parameters

The parameters of the item; in a dictionary, its type is 'NodeODE1Coordinate':

| name | type | size | default | description |
|---|---|---|---|---|
| **name** | String |  | '' | marker's unique name |
| **nodeNumber** | NodeIndex |  | invalid (-1) | node number to which marker is attached to |
| **coordinate** | UInt |  | invalid (-1) | coordinate of node to which marker is attached to; **must be given**: the default is only a placeholder |
| **visualization** | VMarkerNodeODE1Coordinate |  |  | parameters for visualization of item |

## Visualization parameters

`VMarkerNodeODE1Coordinate` has no parameters.

## Drawing

The item draws nothing.
(description-markernodeode1coordinate)=
## Detailed description

### Marker quantities

| quantity | symbol | as computed |
|---|---|---|
| coordinate | $c = y_i$ | the **current** {ref}`ODE1 <ODE1>` coordinate `coordinate` $= i$ of the node |

There is no velocity: an {ref}`ODE1 <ODE1>` coordinate has no time derivative of its own in the solver.

### Jacobians

$\Jm = \ev_i\tp$, a row of the unit matrix. On a node without {ref}`ODE1 <ODE1>` coordinates the value is zero
and the Jacobian empty.

(miniexample-markernodeode1coordinate)=
## Mini example


```python
#a coordinate of a first-order system: a constant input to q_t = -q + f
node = mbs.AddNode(NodeGenericODE1(numberOfODE1Coordinates=1, referenceCoordinates=[0],
                                   initialCoordinates=[0]))
mbs.AddObject(ObjectGenericODE1(nodeNumbers=[node], systemMatrix=[[-1]]))
mCoord = mbs.AddMarker(MarkerNodeODE1Coordinate(nodeNumber=node, coordinate=0))
mbs.AddLoad(LoadCoordinate(markerNumber=mCoord, load=1))

mbs.Assemble()
mbs.SolveDynamic(solverType=exu.DynamicSolverType.RK44)

#q(1) = 1 - exp(-1)
exu.sys['testResult'] = mbs.GetNodeOutput(node, exu.OutputVariableType.Coordinates) #0.632
```