{"id":"vidhyamitra:city-day:vrindavan:2169-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2169-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-01-20","date_display":"January 20, 2169 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2169,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513290.770833,"kali_year":5270,"ahargana":1924825.2708,"sun":{"sidereal_longitude":273.5725,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":179.67,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.0975,"elapsed_within_tithi_degrees":2.0975},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":179.67,"elapsed_within_degrees":6.3367},"yoga":{"number":7,"name":"Sukarma","sum_longitude":93.2426},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2169,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513290.770833,"ahargana":1924825.2708,"kali_year":5270,"ayanamsa_lahiri":26.2145,"grahas":{"sun":{"sidereal_longitude":274.057368,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":183.62456799999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":4.3215},"mars":{"sidereal_longitude":277.0848679999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.433668,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":106.32416799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"venus":{"sidereal_longitude":299.46926800000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":285.52276800000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":73.4942,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":253.4942,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2169,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513290.770833,"kali_year":5270,"ahargana":1924825.2708,"sun":{"sidereal_longitude":273.5725,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":179.67,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.0975,"elapsed_within_tithi_degrees":2.0975},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":179.67,"elapsed_within_degrees":6.3367},"yoga":{"number":7,"name":"Sukarma","sum_longitude":93.2426},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.322,"elongation":93.903},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.322,"opposition_distance":86.097}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.668088019147403,"dayLengthDisplay":"10 Hours 40 Mins 05 Secs","nightLengthDisplay":"13 Hours 19 Mins 55 Secs","moonriseLocal":"00:50","moonsetLocal":"12:07","rahuKala":{"name":"Rāhu Kāla","start":"11:10","end":"12:30","startHours":11.17194071989373,"endHours":12.505451722287155,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:10","end":"16:30","startHours":15.172473727074006,"endHours":16.505984729467432,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:30","end":"09:50","startHours":8.50491871510688,"endHours":9.838429717500306,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.660628250514515,"endHours":10.016231184486095,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.61591138017793,"endHours":7.900393727355194,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.149848788315575,"endHours":12.861054656258736,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.748995976827135,"endHours":6.460201844770294,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.282400377784505,"endHours":7.171407712713455,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.283466392145057,"endHours":14.994672260088217,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.63949573186086,"endHours":18.039495731860857,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:17","startHours":17.839495731860858,"endHours":18.28399939932533,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.589495731860858,"endHours":19.339495731860858,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.149848788315577,"endHours":24.861054656258734,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:10","end":"08:30","startHours":7.171407712713455,"endHours":8.50491871510688,"quality":"neutral"},{"name":"Labha","start":"08:30","end":"09:50","startHours":8.50491871510688,"endHours":9.838429717500306,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:10","startHours":9.838429717500306,"endHours":11.17194071989373,"quality":"auspicious"},{"name":"Kāla","start":"11:10","end":"12:30","startHours":11.17194071989373,"endHours":12.505451722287155,"quality":"inauspicious"},{"name":"Śubha","start":"12:30","end":"13:50","startHours":12.505451722287155,"endHours":13.83896272468058,"quality":"auspicious"},{"name":"Roga","start":"13:50","end":"15:10","startHours":13.83896272468058,"endHours":15.172473727074006,"quality":"inauspicious"},{"name":"Udveg","start":"15:10","end":"16:30","startHours":15.172473727074006,"endHours":16.505984729467432,"quality":"inauspicious"},{"name":"Chala","start":"16:30","end":"17:50","startHours":16.505984729467432,"endHours":17.839495731860858,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:50","end":"19:30","startHours":17.839495731860858,"endHours":19.505984729467432,"quality":"inauspicious"},{"name":"Udveg","start":"19:30","end":"21:10","startHours":19.505984729467432,"endHours":21.172473727074006,"quality":"inauspicious"},{"name":"Chala","start":"21:10","end":"22:50","startHours":21.172473727074006,"endHours":22.83896272468058,"quality":"neutral"},{"name":"Labha","start":"22:50","end":"00:30","startHours":22.83896272468058,"endHours":24.505451722287155,"quality":"auspicious"},{"name":"Amṛta","start":"00:30","end":"02:10","startHours":24.505451722287155,"endHours":26.171940719893733,"quality":"auspicious"},{"name":"Kāla","start":"02:10","end":"03:50","startHours":26.171940719893733,"endHours":27.838429717500304,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:30","startHours":27.838429717500304,"endHours":29.504918715106882,"quality":"auspicious"},{"name":"Roga","start":"05:30","end":"07:10","startHours":29.504918715106882,"endHours":31.171407712713453,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.171407712713455,"endHours":8.171407712713455,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.171407712713455,"endHours":9.171407712713455,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.171407712713455,"endHours":10.171407712713455,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.171407712713455,"endHours":11.171407712713455,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.171407712713455,"endHours":12.171407712713455,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.171407712713455,"endHours":13.171407712713455,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.171407712713455,"endHours":14.171407712713455,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.171407712713455,"endHours":15.171407712713455,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.171407712713455,"endHours":16.171407712713453,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.171407712713453,"endHours":17.171407712713453,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.171407712713453,"endHours":18.171407712713453,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.171407712713453,"endHours":19.171407712713453,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.171407712713453,"endHours":20.171407712713453,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.171407712713453,"endHours":21.171407712713453,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.171407712713453,"endHours":22.171407712713453,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.171407712713453,"endHours":23.171407712713453,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.171407712713453,"endHours":24.171407712713453,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.171407712713453,"endHours":25.171407712713453,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.171407712713453,"endHours":26.171407712713453,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.171407712713453,"endHours":27.171407712713453,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.171407712713453,"endHours":28.171407712713453,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.171407712713453,"endHours":29.171407712713453,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.171407712713453,"endHours":30.171407712713453,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.171407712713453,"endHours":31.171407712713453,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.090191328473036,"eotMinutes":-10.9643033372293,"ayanamsa":26.2145}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Aṣṭamī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 20, 2169 CE · Vṛndāvana · Vidhyamitra","description":"January 20, 2169 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 07:10, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2169-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2169-01-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2169-01-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2169-01-20","x-default":"https://vidhyamitra.com/city/vrindavan/2169-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T05:17:30.888Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-02T05:17:30.888Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T05:17:30.888Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}