{"id":"vidhyamitra:city-day:vrindavan:2169-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2169-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-01-04","date_display":"January 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513274.770833,"kali_year":5270,"ahargana":1924809.2708,"sun":{"sidereal_longitude":257.1324,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.0949,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.9625,"elapsed_within_tithi_degrees":5.9625},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.0949,"elapsed_within_degrees":3.0949},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.2272},"karana":{"half_tithi_index":10,"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":2169,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513274.770833,"ahargana":1924809.2708,"kali_year":5270,"ayanamsa_lahiri":26.2139,"grahas":{"sun":{"sidereal_longitude":257.7572789999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":319.40347900000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-4.1935},"mars":{"sidereal_longitude":264.60537899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":232.774179,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":108.11857900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":295.470379,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":283.685979,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":74.342,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":254.342,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513274.770833,"kali_year":5270,"ahargana":1924809.2708,"sun":{"sidereal_longitude":257.1324,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.0949,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":65.9625,"elapsed_within_tithi_degrees":5.9625},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.0949,"elapsed_within_degrees":3.0949},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.2272},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.194,"elongation":65.962},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.194,"opposition_distance":114.038}},"eclipse_window_40days":[{"offset_days":-20,"type":"lunar","occurs":true,"moon_latitude":-1.424,"opposition_distance":0.344},{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":0.456,"elongation":2.131}]},"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":10.456869818600218,"dayLengthDisplay":"10 Hours 27 Mins 25 Secs","nightLengthDisplay":"13 Hours 32 Mins 35 Secs","moonriseLocal":"10:40","moonsetLocal":"22:22","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"13:43","startHours":12.406445114422436,"endHours":13.713553841747462,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:48","startHours":8.485118932447353,"endHours":9.792227659772381,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:24","startHours":11.09933638709741,"endHours":12.406445114422436,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.617946496129044,"endHours":9.966508823415719,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.613713114230669,"endHours":7.892562976060008,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.057882787135762,"endHours":12.75500744170911,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.783760895975631,"endHours":6.480885550548979,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.306604386905642,"endHours":7.178010205122327,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.149256750855805,"endHours":14.846381405429153,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.434880023722545,"endHours":17.834880023722544,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.634880023722545,"endHours":18.070582932830888,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.384880023722545,"endHours":19.134880023722545,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.05788278713576,"endHours":24.75500744170911,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:29","startHours":7.178010205122327,"endHours":8.485118932447353,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:48","startHours":8.485118932447353,"endHours":9.792227659772381,"quality":"auspicious"},{"name":"Kāla","start":"09:48","end":"11:06","startHours":9.792227659772381,"endHours":11.09933638709741,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:24","startHours":11.09933638709741,"endHours":12.406445114422436,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"13:43","startHours":12.406445114422436,"endHours":13.713553841747462,"quality":"inauspicious"},{"name":"Udveg","start":"13:43","end":"15:01","startHours":13.713553841747462,"endHours":15.02066256907249,"quality":"inauspicious"},{"name":"Chala","start":"15:01","end":"16:20","startHours":15.02066256907249,"endHours":16.32777129639752,"quality":"neutral"},{"name":"Labha","start":"16:20","end":"17:38","startHours":16.32777129639752,"endHours":17.634880023722545,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:38","end":"19:20","startHours":17.634880023722545,"endHours":19.32777129639752,"quality":"inauspicious"},{"name":"Chala","start":"19:20","end":"21:01","startHours":19.32777129639752,"endHours":21.020662569072492,"quality":"neutral"},{"name":"Labha","start":"21:01","end":"22:43","startHours":21.020662569072492,"endHours":22.713553841747462,"quality":"auspicious"},{"name":"Amṛta","start":"22:43","end":"00:24","startHours":22.713553841747462,"endHours":24.406445114422436,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"02:06","startHours":24.406445114422436,"endHours":26.09933638709741,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:48","startHours":26.09933638709741,"endHours":27.79222765977238,"quality":"auspicious"},{"name":"Roga","start":"03:48","end":"05:29","startHours":27.79222765977238,"endHours":29.485118932447353,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:11","startHours":29.485118932447353,"endHours":31.178010205122327,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.178010205122327,"endHours":8.178010205122327,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.178010205122327,"endHours":9.178010205122327,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.178010205122327,"endHours":10.178010205122327,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.178010205122327,"endHours":11.178010205122327,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.178010205122327,"endHours":12.178010205122327,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.178010205122327,"endHours":13.178010205122327,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.178010205122327,"endHours":14.178010205122327,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.178010205122327,"endHours":15.178010205122327,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.178010205122327,"endHours":16.178010205122327,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.178010205122327,"endHours":17.178010205122327,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.178010205122327,"endHours":18.178010205122327,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.178010205122327,"endHours":19.178010205122327,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.178010205122327,"endHours":20.178010205122327,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.178010205122327,"endHours":21.178010205122327,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.178010205122327,"endHours":22.178010205122327,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.178010205122327,"endHours":23.178010205122327,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.178010205122327,"endHours":24.178010205122327,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.178010205122327,"endHours":25.178010205122327,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.178010205122327,"endHours":26.178010205122327,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.178010205122327,"endHours":27.178010205122327,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.178010205122327,"endHours":28.178010205122327,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.178010205122327,"endHours":29.178010205122327,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.178010205122327,"endHours":30.178010205122327,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.178010205122327,"endHours":31.178010205122327,"planetary_lord":"Sun"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","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":-22.703752346447324,"eotMinutes":-5.02390686534617,"ayanamsa":26.2139}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"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 Ṣaṣṭhī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"festivals":[],"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":[]},"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, 2169 CE · Vṛndāvana · Vidhyamitra","description":"January 4, 2169 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 07:11, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2169-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2169-01-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2169-01-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2169-01-04","x-default":"https://vidhyamitra.com/city/vrindavan/2169-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:36:58.543Z","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":"2026-06-01T15:36:58.543Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:36:58.543Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}