{"id":"vidhyamitra:city-day:vrindavan:2085-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2085-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-01-20","date_display":"January 20, 2085 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":2085,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482610.770833,"kali_year":5186,"ahargana":1894145.2708,"sun":{"sidereal_longitude":275.3534,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":200.5842,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.2308,"elapsed_within_tithi_degrees":9.2308},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.5842,"elapsed_within_degrees":0.5842},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.9376},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2085,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482610.770833,"ahargana":1894145.2708,"kali_year":5186,"ayanamsa_lahiri":25.0411,"grahas":{"sun":{"sidereal_longitude":275.627569,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":197.45966899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":-3.8351},"mars":{"sidereal_longitude":23.450469,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":271.132469,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":72.184369,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":263.44566899999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":334.07836900000007,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":259.0683,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":79.0683,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"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":2085,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482610.770833,"kali_year":5186,"ahargana":1894145.2708,"sun":{"sidereal_longitude":275.3534,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":200.5842,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.2308,"elapsed_within_tithi_degrees":9.2308},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.5842,"elapsed_within_degrees":0.5842},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.9376},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.835,"elongation":74.769},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.835,"opposition_distance":105.231}},"eclipse_window_40days":[{"offset_days":-9,"type":"lunar","occurs":true,"moon_latitude":-0.698,"opposition_distance":2.36}]},"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":"17:51","solarNoonLocal":"12:30","dayLengthHours":10.674836430708552,"dayLengthDisplay":"10 Hours 40 Mins 29 Secs","nightLengthDisplay":"13 Hours 19 Mins 31 Secs","moonriseLocal":"01:48","moonsetLocal":"12:47","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:10","startHours":9.836742614610017,"endHours":11.171097168448586,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:50","end":"15:10","startHours":13.839806276125724,"endHours":15.174160829964293,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:30","startHours":7.16803350693288,"endHours":8.502388060771448,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.65882867409821,"endHours":10.014656555121828,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.612818358212403,"endHours":7.897480663031297,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.149623841263537,"endHours":12.861279603310773,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.744721982838406,"endHours":6.456377744885643,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.278463804373834,"endHours":7.16803350693288,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.284591127405248,"endHours":14.996246889452484,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.642869937641432,"endHours":18.04286993764143,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:17","startHours":17.84286993764143,"endHours":18.287654788920953,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.59286993764143,"endHours":19.34286993764143,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.149623841263537,"endHours":24.861279603310773,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:30","startHours":7.16803350693288,"endHours":8.502388060771448,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:50","startHours":8.502388060771448,"endHours":9.836742614610017,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:10","startHours":9.836742614610017,"endHours":11.171097168448586,"quality":"inauspicious"},{"name":"Udveg","start":"11:10","end":"12:30","startHours":11.171097168448586,"endHours":12.505451722287155,"quality":"inauspicious"},{"name":"Chala","start":"12:30","end":"13:50","startHours":12.505451722287155,"endHours":13.839806276125724,"quality":"neutral"},{"name":"Labha","start":"13:50","end":"15:10","startHours":13.839806276125724,"endHours":15.174160829964293,"quality":"auspicious"},{"name":"Amṛta","start":"15:10","end":"16:31","startHours":15.174160829964293,"endHours":16.508515383802862,"quality":"auspicious"},{"name":"Kāla","start":"16:31","end":"17:51","startHours":16.508515383802862,"endHours":17.84286993764143,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:51","end":"19:31","startHours":17.84286993764143,"endHours":19.508515383802862,"quality":"auspicious"},{"name":"Amṛta","start":"19:31","end":"21:10","startHours":19.508515383802862,"endHours":21.174160829964293,"quality":"auspicious"},{"name":"Kāla","start":"21:10","end":"22:50","startHours":21.174160829964293,"endHours":22.839806276125724,"quality":"inauspicious"},{"name":"Śubha","start":"22:50","end":"00:30","startHours":22.839806276125724,"endHours":24.505451722287155,"quality":"auspicious"},{"name":"Roga","start":"00:30","end":"02:10","startHours":24.505451722287155,"endHours":26.171097168448586,"quality":"inauspicious"},{"name":"Udveg","start":"02:10","end":"03:50","startHours":26.171097168448586,"endHours":27.836742614610017,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:30","startHours":27.836742614610017,"endHours":29.502388060771448,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:10","startHours":29.502388060771448,"endHours":31.16803350693288,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.16803350693288,"endHours":8.168033506932879,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.168033506932879,"endHours":9.168033506932879,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.168033506932879,"endHours":10.168033506932879,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.168033506932879,"endHours":11.168033506932879,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.168033506932879,"endHours":12.168033506932879,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.168033506932879,"endHours":13.168033506932879,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.168033506932879,"endHours":14.168033506932879,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.168033506932879,"endHours":15.168033506932879,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.168033506932879,"endHours":16.16803350693288,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16803350693288,"endHours":17.16803350693288,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16803350693288,"endHours":18.16803350693288,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16803350693288,"endHours":19.16803350693288,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16803350693288,"endHours":20.16803350693288,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16803350693288,"endHours":21.16803350693288,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16803350693288,"endHours":22.16803350693288,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16803350693288,"endHours":23.16803350693288,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16803350693288,"endHours":24.16803350693288,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16803350693288,"endHours":25.16803350693288,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16803350693288,"endHours":26.16803350693288,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16803350693288,"endHours":27.16803350693288,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16803350693288,"endHours":28.16803350693288,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16803350693288,"endHours":29.16803350693288,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16803350693288,"endHours":30.16803350693288,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16803350693288,"endHours":31.16803350693288,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.00500013726692,"eotMinutes":-10.9643033372293,"ayanamsa":25.0411}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"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 Navamī · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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, 2085 CE · Vṛndāvana · Vidhyamitra","description":"January 20, 2085 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 07:10, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2085-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2085-01-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2085-01-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2085-01-20","x-default":"https://vidhyamitra.com/city/vrindavan/2085-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:08:47.466Z","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":"2026-05-31T23:08:47.466Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:08:47.466Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}