{"id":"vidhyamitra:city-day:vrindavan:2120-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2120-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-01-31","date_display":"January 31, 2120 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":2120,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495403.770833,"kali_year":5221,"ahargana":1906938.2708,"sun":{"sidereal_longitude":284.5168,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":292.5042,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.9874,"elapsed_within_tithi_degrees":7.9874},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.5042,"elapsed_within_degrees":12.5042},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.0211},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2120,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495403.770833,"ahargana":1906938.2708,"kali_year":5221,"ayanamsa_lahiri":25.5304,"grahas":{"sun":{"sidereal_longitude":284.80478300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":292.991983,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-0.6823},"mars":{"sidereal_longitude":273.05198300000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":292.9794830000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":49.08738299999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":258.59188300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":46.400283,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":301.2336,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.2336,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2120,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495403.770833,"kali_year":5221,"ahargana":1906938.2708,"sun":{"sidereal_longitude":284.5168,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":292.5042,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":7.9874,"elapsed_within_tithi_degrees":7.9874},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.5042,"elapsed_within_degrees":12.5042},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.0211},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.682,"elongation":7.987},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.682,"opposition_distance":172.013}},"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":"07:07","sunsetLocal":"17:59","solarNoonLocal":"12:33","dayLengthHours":10.85847337634225,"dayLengthDisplay":"10 Hours 51 Mins 31 Secs","nightLengthDisplay":"13 Hours 08 Mins 29 Secs","moonriseLocal":"07:36","moonsetLocal":"18:36","rahuKala":{"name":"Rāhu Kāla","start":"12:33","end":"13:54","startHours":12.548206475697368,"endHours":13.905515647740149,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:50","startHours":8.476278959569024,"endHours":9.833588131611805,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:11","end":"12:33","startHours":11.190897303654587,"endHours":12.548206475697368,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.652613575339435,"endHours":10.014562687884176,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.57140617820717,"endHours":7.860965468242964,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.186257363152626,"endHours":12.91015558824211,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:24","startHours":5.671173337347277,"endHours":6.39507156243676,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.214097006164389,"endHours":7.118969787526243,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:05","startHours":14.357952038421075,"endHours":15.081850263510558,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.777443163868494,"endHours":18.177443163868492,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.977443163868493,"endHours":18.42987955454942,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.727443163868493,"endHours":19.477443163868493,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.186257363152627,"endHours":24.910155588242112,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:07","end":"08:29","startHours":7.118969787526243,"endHours":8.476278959569024,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:50","startHours":8.476278959569024,"endHours":9.833588131611805,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:11","startHours":9.833588131611805,"endHours":11.190897303654587,"quality":"inauspicious"},{"name":"Śubha","start":"11:11","end":"12:33","startHours":11.190897303654587,"endHours":12.548206475697368,"quality":"auspicious"},{"name":"Roga","start":"12:33","end":"13:54","startHours":12.548206475697368,"endHours":13.905515647740149,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:16","startHours":13.905515647740149,"endHours":15.262824819782931,"quality":"inauspicious"},{"name":"Chala","start":"15:16","end":"16:37","startHours":15.262824819782931,"endHours":16.62013399182571,"quality":"neutral"},{"name":"Labha","start":"16:37","end":"17:59","startHours":16.62013399182571,"endHours":17.977443163868493,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:59","end":"19:37","startHours":17.977443163868493,"endHours":19.62013399182571,"quality":"inauspicious"},{"name":"Chala","start":"19:37","end":"21:16","startHours":19.62013399182571,"endHours":21.26282481978293,"quality":"neutral"},{"name":"Labha","start":"21:16","end":"22:54","startHours":21.26282481978293,"endHours":22.90551564774015,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:33","startHours":22.90551564774015,"endHours":24.54820647569737,"quality":"auspicious"},{"name":"Kāla","start":"00:33","end":"02:11","startHours":24.54820647569737,"endHours":26.190897303654587,"quality":"inauspicious"},{"name":"Śubha","start":"02:11","end":"03:50","startHours":26.190897303654587,"endHours":27.833588131611805,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:29","startHours":27.833588131611805,"endHours":29.476278959569022,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:07","startHours":29.476278959569022,"endHours":31.118969787526243,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.118969787526243,"endHours":8.118969787526243,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.118969787526243,"endHours":9.118969787526243,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.118969787526243,"endHours":10.118969787526243,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.118969787526243,"endHours":11.118969787526243,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.118969787526243,"endHours":12.118969787526243,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.118969787526243,"endHours":13.118969787526243,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.118969787526243,"endHours":14.118969787526243,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.118969787526243,"endHours":15.118969787526243,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.118969787526243,"endHours":16.118969787526243,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.118969787526243,"endHours":17.118969787526243,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.118969787526243,"endHours":18.118969787526243,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.118969787526243,"endHours":19.118969787526243,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.118969787526243,"endHours":20.118969787526243,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.118969787526243,"endHours":21.118969787526243,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.118969787526243,"endHours":22.118969787526243,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.118969787526243,"endHours":23.118969787526243,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.118969787526243,"endHours":24.118969787526243,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.118969787526243,"endHours":25.118969787526243,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.118969787526243,"endHours":26.118969787526243,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.118969787526243,"endHours":27.118969787526243,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.118969787526243,"endHours":28.118969787526243,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.118969787526243,"endHours":29.118969787526243,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.118969787526243,"endHours":30.118969787526243,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.118969787526243,"endHours":31.118969787526243,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvānkṣa","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":-17.648697496193122,"eotMinutes":-13.52958854184206,"ayanamsa":25.5304}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"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 2177 Vijaya · Śaka 2042 Vikrama"},"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":"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 31, 2120 CE · Vṛndāvana · Vidhyamitra","description":"January 31, 2120 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 07:07, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2120-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2120-01-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2120-01-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2120-01-31","x-default":"https://vidhyamitra.com/city/vrindavan/2120-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:49:14.600Z","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":"2026-05-31T18:49:14.600Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:49:14.600Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}