Percentage of repurchase of common stock during the period.

No definition available.

Name:	star_RepurchaseOfCommonStockOutstandingPercentage
Namespace Prefix:	star_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Aggregate dividends declared during the period for each share of common stock outstanding.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480008/505-10-S99-1

+ Details

Name:	us-gaap_CommonStockDividendsPerShareDeclared
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	duration

- Definition

Date the declared dividend will be paid, in YYYY-MM-DD format.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482913/230-10-50-3

+ Details

Name:	us-gaap_DividendPayableDateToBePaidDayMonthAndYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Date the dividend to be paid was declared, in YYYY-MM-DD format.

+ References

+ Details

Name:	us-gaap_DividendsPayableDateDeclaredDayMonthAndYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Date the holder must own the stock to be entitled to the dividend, in YYYY-MM-DD format.

+ References

No definition available.

+ Details

Name:	us-gaap_DividendsPayableDateOfRecordDayMonthAndYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- References

No definition available.

+ Details

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

- Definition

Amount of cash outflow in the form of ordinary dividends to common shareholders of the parent entity.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 230
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 15
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-15

+ Details

Name:	us-gaap_PaymentsOfDividendsCommonStock
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Cash outflow in the form of ordinary dividends to common shareholders, preferred shareholders and noncontrolling interests, generally out of earnings.

+ References

+ Details

Name:	us-gaap_PaymentsOfOrdinaryDividends
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Value of stock issued during the period from a dividend reinvestment plan (DRIP). A dividend reinvestment plan allows the holder of the stock to reinvest dividends paid to them by the entity on new issues of stock by the entity.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-SubTopic 10
-Topic 505
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-2

Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Topic 946
-SubTopic 830
-Name Accounting Standards Codification
-Section 55
-Paragraph 11
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479168/946-830-55-11

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 205
-Name Accounting Standards Codification
-Section 45
-Paragraph 4
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478009/946-205-45-4

Reference 4: http://www.xbrl.org/2003/role/exampleRef
-Topic 946
-SubTopic 230
-Name Accounting Standards Codification
-Section 55
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479083/946-230-55-1

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 505
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478448/946-505-50-2

Reference 6: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-09(4)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479134/946-220-S99-3

+ Details

Name:	us-gaap_StockIssuedDuringPeriodValueDividendReinvestmentPlan
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Total cost of shares repurchased divided by the total number of shares repurchased.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 505
-SubTopic 30
-Section 45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481549/505-30-45-1

+ Details

Name:	us-gaap_TreasuryStockAcquiredAverageCostPerShare
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	duration

- Definition

Number of shares that have been repurchased during the period and are being held in treasury.

+ References

+ Details

Name:	us-gaap_TreasuryStockSharesAcquired
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- References

No definition available.

+ Details

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

- Definition

Equity impact of the cost of common and preferred stock that were repurchased during the period. Recorded using the cost method.

+ References

+ Details

Name:	us-gaap_TreasuryStockValueAcquiredCostMethod
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Details

Name:	us-gaap_StatementEquityComponentsAxis=us-gaap_TreasuryStockCommonMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DividendsAxis=star_O2024Q4DividendsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DividendsAxis=star_O2025Q2DividendsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DividendsAxis=star_O2023Q4DividendsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DividendsAxis=star_O2024Q2DividendsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Discretionary Repurchase of Shares of Common Stock and Distributions (Details) - USD ($)					3 Months Ended			6 Months Ended
	Jun. 30, 2025	Mar. 31, 2025	Jun. 28, 2024	Mar. 29, 2024	Jun. 30, 2025	Jun. 30, 2024	Sep. 30, 2022	Jun. 30, 2025	Jun. 30, 2024
Repurchases of Common Stock [Abstract]
Purchase price (in dollars per share)	$ 24.44	$ 24.55	$ 24.38	$ 25.1
Common stock repurchase (in shares)	242,756.06	256,233.52	190,664.58	192,187.05				498,989.58	382,851.63
Common stock repurchased	$ 5,932,958	$ 6,290,542	$ 4,648,553	$ 4,823,944				$ 12,223,500	$ 9,472,497
Distributions Declared, Recorded, Subsequent Payment and Issuance [Abstract]
Amount Per Share (in dollars per share)								$ 1.11	$ 1.54
Amount Paid in Cash								$ 5,603,185	$ 6,022,443
Amount Settled via Newly Issued Shares					$ 2,786,818	$ 2,838,215		5,458,336	5,839,036
Distributions Payable								$ 11,061,521	$ 11,861,479
Treasury Stock [Member] \| Maximum [Member]
Repurchases of Common Stock [Abstract]
Percentage of repurchase common stock outstanding							2.50%
2024 Q4 Dividend [Member]
Distributions Declared, Recorded, Subsequent Payment and Issuance [Abstract]
Date Declared								Dec. 31, 2024
Record Date								Dec. 31, 2024
Payment/Issuance Date								Jan. 31, 2025
Amount Per Share (in dollars per share)								$ 0.54
Amount Paid in Cash								$ 2,651,213
Amount Settled via Newly Issued Shares								2,671,518
Distributions Payable								$ 5,322,731
2025 Q2 Dividend [Member]
Distributions Declared, Recorded, Subsequent Payment and Issuance [Abstract]
Date Declared								Apr. 01, 2025
Record Date								Apr. 23, 2025
Payment/Issuance Date								May 20, 2025
Amount Per Share (in dollars per share)								$ 0.57
Amount Paid in Cash								$ 2,951,972
Amount Settled via Newly Issued Shares								2,786,818
Distributions Payable								$ 5,738,790
2023 Q4 Dividend [Member]
Distributions Declared, Recorded, Subsequent Payment and Issuance [Abstract]
Date Declared									Dec. 31, 2023
Record Date									Dec. 31, 2023
Payment/Issuance Date									Jan. 31, 2024
Amount Per Share (in dollars per share)									$ 0.79
Amount Paid in Cash									$ 2,961,399
Amount Settled via Newly Issued Shares									3,000,821
Distributions Payable									$ 5,962,220
2024 Q2 Dividends [Member]
Distributions Declared, Recorded, Subsequent Payment and Issuance [Abstract]
Date Declared									Apr. 03, 2024
Record Date									Apr. 03, 2024
Payment/Issuance Date									May 16, 2024
Amount Per Share (in dollars per share)									$ 0.75
Amount Paid in Cash									$ 3,061,044
Amount Settled via Newly Issued Shares									2,838,215
Distributions Payable									$ 5,899,259