{"id":"vidhyamitra:city-day:vrindavan:2161-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2161-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-01-15","date_display":"January 15, 2161 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":2161,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510363.770833,"kali_year":5262,"ahargana":1921898.2708,"sun":{"sidereal_longitude":268.5105,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":126.9925,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.482,"elapsed_within_tithi_degrees":2.482},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":126.9925,"elapsed_within_degrees":6.9925},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.503},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2161,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510363.770833,"ahargana":1921898.2708,"kali_year":5262,"ayanamsa_lahiri":26.1026,"grahas":{"sun":{"sidereal_longitude":269.01790099999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":130.66500100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-4.4081},"mars":{"sidereal_longitude":213.03060100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":255.73630100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":219.860501,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":301.37890100000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":203.017201,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":228.5808,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":48.5808,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2161,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510363.770833,"kali_year":5262,"ahargana":1921898.2708,"sun":{"sidereal_longitude":268.5105,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":126.9925,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.482,"elapsed_within_tithi_degrees":2.482},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":126.9925,"elapsed_within_degrees":6.9925},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.503},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.408,"elongation":141.518},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.408,"opposition_distance":38.482}},"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":"07:11","sunsetLocal":"17:46","solarNoonLocal":"12:29","dayLengthHours":10.586887781707798,"dayLengthDisplay":"10 Hours 35 Mins 13 Secs","nightLengthDisplay":"13 Hours 24 Mins 47 Secs","moonriseLocal":"20:54","moonsetLocal":"09:37","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:08","startHours":13.801906796815697,"endHours":15.125267769529172,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:31","startHours":7.1851019332483235,"endHours":8.508462905961798,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:09","startHours":9.831823878675273,"endHours":11.155184851388748,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.655375748980143,"endHours":10.008272008370403,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.626222257486148,"endHours":7.908539264998356,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.125649564711962,"endHours":12.831442083492481,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.773516895687283,"endHours":6.479309414467804,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.302861284772674,"endHours":7.1851019332483235,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.243027121053522,"endHours":14.948819639834042,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.57198971495612,"endHours":17.97198971495612,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:13","startHours":17.77198971495612,"endHours":18.213110039193946,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.52198971495612,"endHours":19.27198971495612,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.12564956471196,"endHours":24.83144208349248,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:11","end":"08:31","startHours":7.1851019332483235,"endHours":8.508462905961798,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:50","startHours":8.508462905961798,"endHours":9.831823878675273,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:09","startHours":9.831823878675273,"endHours":11.155184851388748,"quality":"inauspicious"},{"name":"Chala","start":"11:09","end":"12:29","startHours":11.155184851388748,"endHours":12.478545824102223,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:48","startHours":12.478545824102223,"endHours":13.801906796815697,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:08","startHours":13.801906796815697,"endHours":15.125267769529172,"quality":"auspicious"},{"name":"Kāla","start":"15:08","end":"16:27","startHours":15.125267769529172,"endHours":16.448628742242647,"quality":"inauspicious"},{"name":"Śubha","start":"16:27","end":"17:46","startHours":16.448628742242647,"endHours":17.77198971495612,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:46","end":"19:27","startHours":17.77198971495612,"endHours":19.448628742242647,"quality":"auspicious"},{"name":"Kāla","start":"19:27","end":"21:08","startHours":19.448628742242647,"endHours":21.12526776952917,"quality":"inauspicious"},{"name":"Śubha","start":"21:08","end":"22:48","startHours":21.12526776952917,"endHours":22.801906796815697,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:29","startHours":22.801906796815697,"endHours":24.47854582410222,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:09","startHours":24.47854582410222,"endHours":26.155184851388746,"quality":"inauspicious"},{"name":"Chala","start":"02:09","end":"03:50","startHours":26.155184851388746,"endHours":27.831823878675273,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:31","startHours":27.831823878675273,"endHours":29.5084629059618,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:11","startHours":29.5084629059618,"endHours":31.185101933248323,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1851019332483235,"endHours":8.185101933248323,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.185101933248323,"endHours":9.185101933248323,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.185101933248323,"endHours":10.185101933248323,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.185101933248323,"endHours":11.185101933248323,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.185101933248323,"endHours":12.185101933248323,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.185101933248323,"endHours":13.185101933248323,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.185101933248323,"endHours":14.185101933248323,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.185101933248323,"endHours":15.185101933248323,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.185101933248323,"endHours":16.185101933248323,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.185101933248323,"endHours":17.185101933248323,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.185101933248323,"endHours":18.185101933248323,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.185101933248323,"endHours":19.185101933248323,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.185101933248323,"endHours":20.185101933248323,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.185101933248323,"endHours":21.185101933248323,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.185101933248323,"endHours":22.185101933248323,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.185101933248323,"endHours":23.185101933248323,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.185101933248323,"endHours":24.185101933248323,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.185101933248323,"endHours":25.185101933248323,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.185101933248323,"endHours":26.185101933248323,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.185101933248323,"endHours":27.185101933248323,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.185101933248323,"endHours":28.185101933248323,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.185101933248323,"endHours":29.185101933248323,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.185101933248323,"endHours":30.185101933248323,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.185101933248323,"endHours":31.185101933248323,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"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":-21.107179825910475,"eotMinutes":-9.349949446133257,"ayanamsa":26.1026}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"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":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 15, 2161 CE · Vṛndāvana · Vidhyamitra","description":"January 15, 2161 CE for Vṛndāvana: Kṛṣṇa Caturthī, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2161-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2161-01-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2161-01-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2161-01-15","x-default":"https://vidhyamitra.com/city/vrindavan/2161-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:16:49.531Z","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":"2026-05-31T20:16:49.531Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:16:49.531Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}