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Debt Obligations, net (Debt Covenants) (Details)	Dec. 31, 2022
Unsecured Debt
Debt Instrument [Line Items]
Unencumbered assets to unsecured indebtedness ratio (at least)	1.3

X

- Definition

Represents the minimum ratio of encumbered assets to unsecured indebtedness required under the terms of the debt covenant.

+ References

No definition available.

+ Details

Name:	star_DebtInstrumentCovenantRatioOfUnencumberedAssetsToUnsecuredIndebtedness
Namespace Prefix:	star_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_UnsecuredDebtMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: