{"id":"vidhyamitra:city-day:vrindavan:1871-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1871-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1871-01-04","date_display":"January 4, 1871 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":1871,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404431.770833,"kali_year":4972,"ahargana":1815966.2708,"sun":{"sidereal_longitude":261.3572,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":48.1685,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.8113,"elapsed_within_tithi_degrees":2.8113},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.1685,"elapsed_within_degrees":8.1685},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.5258},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1871,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2404431.770833,"ahargana":1815966.2708,"kali_year":4972,"ayanamsa_lahiri":22.0511,"grahas":{"sun":{"sidereal_longitude":261.24668199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":49.57278199999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":-2.4622},"mars":{"sidereal_longitude":161.181282,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":282.286382,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":58.07698199999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":269.456182,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":251.319482,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":81.3679,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.3679,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":1871,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2404431.770833,"kali_year":4972,"ahargana":1815966.2708,"sun":{"sidereal_longitude":261.3572,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":48.1685,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.8113,"elapsed_within_tithi_degrees":2.8113},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":48.1685,"elapsed_within_degrees":8.1685},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.5258},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.462,"elongation":146.811},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.462,"opposition_distance":33.189}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":0.376,"opposition_distance":1.57}]},"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":"07:11","sunsetLocal":"17:38","solarNoonLocal":"12:24","dayLengthHours":10.451221187626324,"dayLengthDisplay":"10 Hours 27 Mins 04 Secs","nightLengthDisplay":"13 Hours 32 Mins 56 Secs","moonriseLocal":"15:26","moonsetLocal":"05:10","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"13:43","startHours":12.406445114422436,"endHours":13.712847762875725,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:48","startHours":8.487237169062563,"endHours":9.793639817515853,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:24","startHours":11.100042465969144,"endHours":12.406445114422436,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.619452797722083,"endHours":9.967826837309627,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.616302070093703,"endHours":7.895001301763739,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.058071074834892,"endHours":12.75481915400998,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.787338362259097,"endHours":6.484086441434185,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.309899421640413,"endHours":7.180834520609273,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.148315312360156,"endHours":14.845063391535245,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.4320557082356,"endHours":17.832055708235597,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.632055708235598,"endHours":18.067523257720026,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.382055708235598,"endHours":19.132055708235598,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.058071074834892,"endHours":24.75481915400998,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:29","startHours":7.180834520609273,"endHours":8.487237169062563,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:48","startHours":8.487237169062563,"endHours":9.793639817515853,"quality":"auspicious"},{"name":"Kāla","start":"09:48","end":"11:06","startHours":9.793639817515853,"endHours":11.100042465969144,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:24","startHours":11.100042465969144,"endHours":12.406445114422436,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"13:43","startHours":12.406445114422436,"endHours":13.712847762875725,"quality":"inauspicious"},{"name":"Udveg","start":"13:43","end":"15:01","startHours":13.712847762875725,"endHours":15.019250411329015,"quality":"inauspicious"},{"name":"Chala","start":"15:01","end":"16:20","startHours":15.019250411329015,"endHours":16.325653059782308,"quality":"neutral"},{"name":"Labha","start":"16:20","end":"17:38","startHours":16.325653059782308,"endHours":17.632055708235598,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:38","end":"19:20","startHours":17.632055708235598,"endHours":19.325653059782308,"quality":"inauspicious"},{"name":"Chala","start":"19:20","end":"21:01","startHours":19.325653059782308,"endHours":21.01925041132902,"quality":"neutral"},{"name":"Labha","start":"21:01","end":"22:43","startHours":21.01925041132902,"endHours":22.712847762875725,"quality":"auspicious"},{"name":"Amṛta","start":"22:43","end":"00:24","startHours":22.712847762875725,"endHours":24.406445114422436,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"02:06","startHours":24.406445114422436,"endHours":26.100042465969146,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:48","startHours":26.100042465969146,"endHours":27.793639817515853,"quality":"auspicious"},{"name":"Roga","start":"03:48","end":"05:29","startHours":27.793639817515853,"endHours":29.487237169062563,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:11","startHours":29.487237169062563,"endHours":31.180834520609274,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.180834520609273,"endHours":8.180834520609274,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.180834520609274,"endHours":9.180834520609274,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.180834520609274,"endHours":10.180834520609274,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.180834520609274,"endHours":11.180834520609274,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.180834520609274,"endHours":12.180834520609274,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.180834520609274,"endHours":13.180834520609274,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.180834520609274,"endHours":14.180834520609274,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.180834520609274,"endHours":15.180834520609274,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.180834520609274,"endHours":16.180834520609274,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.180834520609274,"endHours":17.180834520609274,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.180834520609274,"endHours":18.180834520609274,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.180834520609274,"endHours":19.180834520609274,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.180834520609274,"endHours":20.180834520609274,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.180834520609274,"endHours":21.180834520609274,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.180834520609274,"endHours":22.180834520609274,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.180834520609274,"endHours":23.180834520609274,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.180834520609274,"endHours":24.180834520609274,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.180834520609274,"endHours":25.180834520609274,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.180834520609274,"endHours":26.180834520609274,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.180834520609274,"endHours":27.180834520609274,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.180834520609274,"endHours":28.180834520609274,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.180834520609274,"endHours":29.180834520609274,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.180834520609274,"endHours":30.180834520609274,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.180834520609274,"endHours":31.180834520609274,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","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":-22.77220736470306,"eotMinutes":-5.02390686534617,"ayanamsa":22.0511}},"calendars":{"vikram_samvat":1928,"vikram_samvatsara":"Tāraṇa","saka_samvat":1793,"saka_samvatsara":"Prajāpati","bengali_samvat":1278,"malayalam_era":1047,"nanakshahi_year":402,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Trayodaśī · Vikram 1928 Tāraṇa · Śaka 1793 Prajāpati"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 Rohiṇī","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 4, 1871 CE · Vṛndāvana · Vidhyamitra","description":"January 4, 1871 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 07:11, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1871-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1871-01-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/1871-01-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/1871-01-04","x-default":"https://vidhyamitra.com/city/vrindavan/1871-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T09:09:30.867Z","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":"2026-06-01T09:09:30.867Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T09:09:30.867Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}