{"id":"vidhyamitra:city-day:vrindavan:2186-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2186-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2186-01-21","date_display":"January 21, 2186 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":2186,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519500.770833,"kali_year":5287,"ahargana":1931035.2708,"sun":{"sidereal_longitude":274.1894,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":278.534,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.3445,"elapsed_within_tithi_degrees":4.3445},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.534,"elapsed_within_degrees":11.8673},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.7234},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2186,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2519500.770833,"ahargana":1931035.2708,"kali_year":5287,"ayanamsa_lahiri":26.4521,"grahas":{"sun":{"sidereal_longitude":274.70900000000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":278.2576,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":0.464},"mars":{"sidereal_longitude":287.105,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":289.43229999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":253.19209999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":287.6086,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":150.18179999999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":104.4586,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":284.4586,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"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":2186,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519500.770833,"kali_year":5287,"ahargana":1931035.2708,"sun":{"sidereal_longitude":274.1894,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":278.534,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.3445,"elapsed_within_tithi_degrees":4.3445},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.534,"elapsed_within_degrees":11.8673},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.7234},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.464,"elongation":4.345},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.464,"opposition_distance":175.655}},"eclipse_window_40days":[{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":0.394,"opposition_distance":0.217}]},"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":"12:31","dayLengthHours":10.68330484322207,"dayLengthDisplay":"10 Hours 41 Mins 00 Secs","nightLengthDisplay":"13 Hours 19 Mins 00 Secs","moonriseLocal":"07:24","moonsetLocal":"18:06","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:10","startHours":9.839482643346685,"endHours":11.174895748749444,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:51","end":"15:11","startHours":13.845721959554961,"endHours":15.18113506495772,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:30","startHours":7.168656432541168,"endHours":8.504069537943927,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.661427562626317,"endHours":10.017537724067052,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.613794134342087,"endHours":7.898682263494676,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.154198692711468,"endHours":12.866419015592939,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.744215786778225,"endHours":6.4564361096596965,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.278381028939329,"endHours":7.168656432541168,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.290859661355881,"endHours":15.003079984237353,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.651961275763238,"endHours":18.051961275763237,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:18","startHours":17.851961275763237,"endHours":18.297098977564158,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.601961275763237,"endHours":19.351961275763237,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.154198692711468,"endHours":24.86641901559294,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:30","startHours":7.168656432541168,"endHours":8.504069537943927,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:50","startHours":8.504069537943927,"endHours":9.839482643346685,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:10","startHours":9.839482643346685,"endHours":11.174895748749444,"quality":"inauspicious"},{"name":"Udveg","start":"11:10","end":"12:31","startHours":11.174895748749444,"endHours":12.510308854152203,"quality":"inauspicious"},{"name":"Chala","start":"12:31","end":"13:51","startHours":12.510308854152203,"endHours":13.845721959554961,"quality":"neutral"},{"name":"Labha","start":"13:51","end":"15:11","startHours":13.845721959554961,"endHours":15.18113506495772,"quality":"auspicious"},{"name":"Amṛta","start":"15:11","end":"16:31","startHours":15.18113506495772,"endHours":16.51654817036048,"quality":"auspicious"},{"name":"Kāla","start":"16:31","end":"17:51","startHours":16.51654817036048,"endHours":17.851961275763237,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:51","end":"19:31","startHours":17.851961275763237,"endHours":19.51654817036048,"quality":"auspicious"},{"name":"Amṛta","start":"19:31","end":"21:11","startHours":19.51654817036048,"endHours":21.18113506495772,"quality":"auspicious"},{"name":"Kāla","start":"21:11","end":"22:51","startHours":21.18113506495772,"endHours":22.84572195955496,"quality":"inauspicious"},{"name":"Śubha","start":"22:51","end":"00:31","startHours":22.84572195955496,"endHours":24.510308854152203,"quality":"auspicious"},{"name":"Roga","start":"00:31","end":"02:10","startHours":24.510308854152203,"endHours":26.174895748749442,"quality":"inauspicious"},{"name":"Udveg","start":"02:10","end":"03:50","startHours":26.174895748749442,"endHours":27.839482643346685,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:30","startHours":27.839482643346685,"endHours":29.504069537943927,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:10","startHours":29.504069537943927,"endHours":31.16865643254117,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.168656432541168,"endHours":8.168656432541168,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.168656432541168,"endHours":9.168656432541168,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.168656432541168,"endHours":10.168656432541168,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.168656432541168,"endHours":11.168656432541168,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.168656432541168,"endHours":12.168656432541168,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.168656432541168,"endHours":13.168656432541168,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.168656432541168,"endHours":14.168656432541168,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.168656432541168,"endHours":15.168656432541168,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.168656432541168,"endHours":16.16865643254117,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16865643254117,"endHours":17.16865643254117,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16865643254117,"endHours":18.16865643254117,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16865643254117,"endHours":19.16865643254117,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16865643254117,"endHours":20.16865643254117,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16865643254117,"endHours":21.16865643254117,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16865643254117,"endHours":22.16865643254117,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16865643254117,"endHours":23.16865643254117,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16865643254117,"endHours":24.16865643254117,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16865643254117,"endHours":25.16865643254117,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16865643254117,"endHours":26.16865643254117,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16865643254117,"endHours":27.16865643254117,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16865643254117,"endHours":28.16865643254117,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16865643254117,"endHours":29.16865643254117,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16865643254117,"endHours":30.16865643254117,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16865643254117,"endHours":31.16865643254117,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","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":-19.89795192178166,"eotMinutes":-11.255731249132124,"ayanamsa":26.4521}},"calendars":{"vikram_samvat":2243,"vikram_samvatsara":"Vikāri","saka_samvat":2108,"saka_samvatsara":"Vyaya","bengali_samvat":1593,"malayalam_era":1362,"nanakshahi_year":717,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","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 Śukla Pratipada · Vikram 2243 Vikāri · Śaka 2108 Vyaya"},"festivals":[{"id":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"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":[]},"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 21, 2186 CE · Vṛndāvana · Vidhyamitra","description":"January 21, 2186 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 07:10, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2186-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2186-01-21","sa":"https://sa.vidhyamitra.com/city/vrindavan/2186-01-21","hi":"https://hi.vidhyamitra.com/city/vrindavan/2186-01-21","x-default":"https://vidhyamitra.com/city/vrindavan/2186-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T09:30:21.824Z","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":"2026-06-01T09:30:21.824Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T09:30:21.824Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}