| Cover | Jan. 12, 2023 |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Jan. 12, 2023 |
| Entity File Number | 001-41143 |
| Entity Registrant Name | Trajectory Alpha Acquisition Corp. |
| Entity Central Index Key | 0001846750 |
| Entity Tax Identification Number | 86-1837862 |
| Entity Incorporation, State or Country Code | DE |
| Entity Address, Address Line One | 99 Wall Street, #5801 |
| Entity Address, City or Town | New York |
| Entity Address, State or Province | NY |
| Entity Address, Postal Zip Code | 10005 |
| City Area Code | 646 |
| Local Phone Number | 450-2536 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | true |
| Elected Not To Use the Extended Transition Period | false |
| Units, each consisting of one share of Class A common stock and one-half of one redeemable public warrant | |
| Title of 12(b) Security | Units, each consisting of one share of Class A common stock and one-half of one redeemable public warrant |
| Trading Symbol | TCOA.U |
| Security Exchange Name | NYSE |
| Class A Common Stock, par value $0.0001 per share | |
| Title of 12(b) Security | Class A Common Stock, par value $0.0001 per share |
| Trading Symbol | TCOA |
| Security Exchange Name | NYSE |
| Public warrants, each whole public warrant exercisable for one share of Class A Common Stock at an exercise price of $11.50 per share | |
| Title of 12(b) Security | Public warrants, each whole public warrant exercisable for one share of Class A Common Stock at an exercise price of $11.50 per share |
| Trading Symbol | TCOA WS |
| Security Exchange Name | NYSE |
