If a custody schedule is mandated by the court say Monday-Thursday what exactly does having primary custody give you for rights and obligations?

having primary custody means you are the custodial parent because you have the child for the majority of the time, (meaning more than 50%)in support court that helps alot, since you have the child the majority of the time(more than 50%) that makes you the custodial parent and you have the right to receive child support

Primary custody just means that the child lives "mostly" with that parent.

Here are the definitions in CA

3000. Unless the provision or context otherwise requires, the definitions in this chapter govern the construction of this division.

3002. "Joint custody" means joint physical custody and joint legal custody.

3003. "Joint legal custody" means that both parents shall share the right and the responsibility to make the decisions relating to the health, education, and welfare of a child.

3004. "Joint physical custody" means that each of the parents shall have significant periods of physical custody. Joint physical custody shall be shared by the parents in such a way so as to assure a child of frequent and continuing contact with both parents, subject to Sections 3011 and 3020.

3006. "Sole legal custody" means that one parent shall have the right and the responsibility to make the decisions relating to the health, education, and welfare of a child.

3007. "Sole physical custody" means that a child shall reside with and be under the supervision of one parent, subject to the power of the court to order visitation.

You need to view the case law to get more details.

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