{"id":"vidhyamitra:city-day:vrindavan:2181-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2181-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-01-01","date_display":"January 1, 2181 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":2181,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517654.770833,"kali_year":5282,"ahargana":1929189.2708,"sun":{"sidereal_longitude":253.94,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":74.4553,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":180.5153,"elapsed_within_tithi_degrees":0.5153},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.4553,"elapsed_within_degrees":7.7887},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.3954},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2181,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517654.770833,"ahargana":1929189.2708,"kali_year":5282,"ayanamsa_lahiri":26.3815,"grahas":{"sun":{"sidereal_longitude":254.621131,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":74.56093099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-3.5537},"mars":{"sidereal_longitude":47.82493099999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":262.689031,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":112.900531,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":243.72263099999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":79.23413099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":202.2685,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.2685,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":2181,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517654.770833,"kali_year":5282,"ahargana":1929189.2708,"sun":{"sidereal_longitude":253.94,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":74.4553,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":180.5153,"elapsed_within_tithi_degrees":0.5153},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.4553,"elapsed_within_degrees":7.7887},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.3954},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.554,"elongation":179.485},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.554,"opposition_distance":0.515}},"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":"17:36","solarNoonLocal":"12:23","dayLengthHours":10.433975639996703,"dayLengthDisplay":"10 Hours 26 Mins 02 Secs","nightLengthDisplay":"13 Hours 33 Mins 58 Secs","moonriseLocal":"17:29","moonsetLocal":"07:17","rahuKala":{"name":"Rāhu Kāla","start":"08:28","end":"09:47","startHours":8.471725440391172,"endHours":9.77597239539076,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:05","end":"12:23","startHours":11.080219350390347,"endHours":12.384466305389935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:41","end":"15:00","startHours":13.688713260389523,"endHours":14.992960215389111,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.602072801390815,"endHours":9.949871989390704,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.602227470391447,"endHours":7.880466820791359,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.036667117390046,"endHours":12.732265493389825,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.7762817333920236,"endHours":6.471880109391804,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.297980515391859,"endHours":7.167478485391584,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.123462245389387,"endHours":14.819060621389168,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.401454125388288,"endHours":17.801454125388286,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.601454125388287,"endHours":18.03620311038815,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.351454125388287,"endHours":19.101454125388287,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.036667117390046,"endHours":24.732265493389825,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:28","startHours":7.167478485391584,"endHours":8.471725440391172,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"09:47","startHours":8.471725440391172,"endHours":9.77597239539076,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:05","startHours":9.77597239539076,"endHours":11.080219350390347,"quality":"auspicious"},{"name":"Roga","start":"11:05","end":"12:23","startHours":11.080219350390347,"endHours":12.384466305389935,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"13:41","startHours":12.384466305389935,"endHours":13.688713260389523,"quality":"inauspicious"},{"name":"Chala","start":"13:41","end":"15:00","startHours":13.688713260389523,"endHours":14.992960215389111,"quality":"neutral"},{"name":"Labha","start":"15:00","end":"16:18","startHours":14.992960215389111,"endHours":16.2972071703887,"quality":"auspicious"},{"name":"Amṛta","start":"16:18","end":"17:36","startHours":16.2972071703887,"endHours":17.601454125388287,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:36","end":"19:18","startHours":17.601454125388287,"endHours":19.2972071703887,"quality":"neutral"},{"name":"Labha","start":"19:18","end":"21:00","startHours":19.2972071703887,"endHours":20.99296021538911,"quality":"auspicious"},{"name":"Amṛta","start":"21:00","end":"22:41","startHours":20.99296021538911,"endHours":22.688713260389523,"quality":"auspicious"},{"name":"Kāla","start":"22:41","end":"00:23","startHours":22.688713260389523,"endHours":24.384466305389935,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"02:05","startHours":24.384466305389935,"endHours":26.080219350390347,"quality":"auspicious"},{"name":"Roga","start":"02:05","end":"03:47","startHours":26.080219350390347,"endHours":27.77597239539076,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:28","startHours":27.77597239539076,"endHours":29.47172544039117,"quality":"inauspicious"},{"name":"Chala","start":"05:28","end":"07:10","startHours":29.47172544039117,"endHours":31.167478485391584,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.167478485391584,"endHours":8.167478485391584,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.167478485391584,"endHours":9.167478485391584,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.167478485391584,"endHours":10.167478485391584,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.167478485391584,"endHours":11.167478485391584,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.167478485391584,"endHours":12.167478485391584,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.167478485391584,"endHours":13.167478485391584,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.167478485391584,"endHours":14.167478485391584,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.167478485391584,"endHours":15.167478485391584,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.167478485391584,"endHours":16.167478485391584,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.167478485391584,"endHours":17.167478485391584,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.167478485391584,"endHours":18.167478485391584,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.167478485391584,"endHours":19.167478485391584,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.167478485391584,"endHours":20.167478485391584,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.167478485391584,"endHours":21.167478485391584,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.167478485391584,"endHours":22.167478485391584,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.167478485391584,"endHours":23.167478485391584,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.167478485391584,"endHours":24.167478485391584,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.167478485391584,"endHours":25.167478485391584,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.167478485391584,"endHours":26.167478485391584,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.167478485391584,"endHours":27.167478485391584,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.167478485391584,"endHours":28.167478485391584,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.167478485391584,"endHours":29.167478485391584,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.167478485391584,"endHours":30.167478485391584,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.167478485391584,"endHours":31.167478485391584,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.98072954421367,"eotMinutes":-3.705178323396069,"ayanamsa":26.3815}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 1, 2181 CE · Vṛndāvana · Vidhyamitra","description":"January 1, 2181 CE for Vṛndāvana: Kṛṣṇa Pratipada, sūryodaya 07:10, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2181-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2181-01-01","sa":"https://sa.vidhyamitra.com/city/vrindavan/2181-01-01","hi":"https://hi.vidhyamitra.com/city/vrindavan/2181-01-01","x-default":"https://vidhyamitra.com/city/vrindavan/2181-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-28T23:41:58.731Z","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":"2026-05-28T23:41:58.731Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-28T23:41:58.731Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}