Entity Position and Rotation

Packet ID	Direction	Mojang Name	MCP Name
0x21	Clientbound	MoveEntityPacket.PosRot	Packet33RelEntityMoveLook

Clientbound

Sent to the client to set an entity's position relative to the clients previous position. Usually sent when an entity has moved less than 4 blocks. Position and rotation data is in entity space and thus quantized.

More specifically:

$$\mathrm{\Delta }p=(p_{new}-p_{old})\cdot 32$$

where $p_{new}$ and $p_{old}$ refer to the X, Y and Z positions received by Player Position and Player Position and Rotation packets. You should set $\mathrm{\Delta }p$ in Entity Position and Rotation as well as Entity Position packets.

For Yaw and Pitch:

$$r^{\prime }=r\cdot 256/360$$

Where $r$ refers to Yaw or Pitch received by Player Rotation and Player Position and Rotation packets. $r^{\prime }$ should be set in Entity Position and Rotation as well as Entity Rotation packets.

Field	Type	Description
Entity ID	Integer	The ID of the entity that should be moved
X	Byte	The X position of the player (Quantized)
Y	Byte	The Y position of the player (Quantized)
Z	Byte	The Z position of the player (Quantized)
Yaw	Byte	Rotation on the X Axis (Quantized)
Pitch	Byte	Rotation on the Y Axis (Quantized)

Example Packets

Clientbound

Field	Value
Entity ID	1298
X	5 (0.15)
Y	2 (0.06)
Z	15 (0.46)
Yaw	16 (22.58)
Pitch	9 (12.70)