{"id":"vidhyamitra:city-day:varanasi:2011-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2011-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-01-31","date_display":"January 31, 2011 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":2011,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455592.770833,"kali_year":5112,"ahargana":1867127.2708,"sun":{"sidereal_longitude":286.7714,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.3423,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.5709,"elapsed_within_tithi_degrees":0.5709},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.3423,"elapsed_within_degrees":11.3423},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1137},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2011,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455592.770833,"ahargana":1867127.2708,"kali_year":5112,"ayanamsa_lahiri":24.0078,"grahas":{"sun":{"sidereal_longitude":286.789256,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":251.76065600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":0.0573},"mars":{"sidereal_longitude":287.6947560000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.929856,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":337.597556,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":241.042956,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":172.95185600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":250.6119,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":70.6119,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"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":2011,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455592.770833,"kali_year":5112,"ahargana":1867127.2708,"sun":{"sidereal_longitude":286.7714,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.3423,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.5709,"elapsed_within_tithi_degrees":0.5709},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.3423,"elapsed_within_degrees":11.3423},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1137},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.057,"elongation":35.429},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.057,"opposition_distance":144.571}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:42","sunsetLocal":"17:41","solarNoonLocal":"12:12","dayLengthHours":10.98474048657305,"dayLengthDisplay":"10 Hours 59 Mins 05 Secs","nightLengthDisplay":"13 Hours 00 Mins 55 Secs","moonriseLocal":"04:36","moonsetLocal":"15:07","rahuKala":{"name":"Rāhu Kāla","start":"08:04","end":"09:27","startHours":8.074622126565806,"endHours":9.447714687387439,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:49","end":"12:12","startHours":10.82080724820907,"endHours":12.1938998090307,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"14:56","startHours":13.566992369852333,"endHours":14.940084930673963,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:38","startHours":9.264635679277887,"endHours":9.63079369549699,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:10","end":"07:27","startHours":7.159227086018053,"endHours":7.452153498993334,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:34","startHours":11.827741792811599,"endHours":12.560057825249801,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:14","end":"05:58","startHours":5.236897500867769,"endHours":5.969213533305973,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:47","end":"06:42","startHours":5.786134525196422,"endHours":6.701529565744176,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:45","startHours":14.02468989012621,"endHours":14.757005922564414,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.486270052317227,"endHours":17.886270052317226,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:09","startHours":17.686270052317226,"endHours":18.143967572591105,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.436270052317226,"endHours":19.186270052317226,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:34","startHours":23.827741792811597,"endHours":24.560057825249803,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:42","end":"08:04","startHours":6.701529565744176,"endHours":8.074622126565806,"quality":"auspicious"},{"name":"Kāla","start":"08:04","end":"09:27","startHours":8.074622126565806,"endHours":9.447714687387439,"quality":"inauspicious"},{"name":"Śubha","start":"09:27","end":"10:49","startHours":9.447714687387439,"endHours":10.82080724820907,"quality":"auspicious"},{"name":"Roga","start":"10:49","end":"12:12","startHours":10.82080724820907,"endHours":12.1938998090307,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"13:34","startHours":12.1938998090307,"endHours":13.566992369852333,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"14:56","startHours":13.566992369852333,"endHours":14.940084930673963,"quality":"neutral"},{"name":"Labha","start":"14:56","end":"16:19","startHours":14.940084930673963,"endHours":16.313177491495594,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:41","startHours":16.313177491495594,"endHours":17.686270052317226,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:41","end":"19:19","startHours":17.686270052317226,"endHours":19.313177491495594,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"20:56","startHours":19.313177491495594,"endHours":20.940084930673965,"quality":"auspicious"},{"name":"Amṛta","start":"20:56","end":"22:34","startHours":20.940084930673965,"endHours":22.566992369852333,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"00:12","startHours":22.566992369852333,"endHours":24.1938998090307,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:49","startHours":24.1938998090307,"endHours":25.82080724820907,"quality":"auspicious"},{"name":"Roga","start":"01:49","end":"03:27","startHours":25.82080724820907,"endHours":27.44771468738744,"quality":"inauspicious"},{"name":"Udveg","start":"03:27","end":"05:04","startHours":27.44771468738744,"endHours":29.074622126565806,"quality":"inauspicious"},{"name":"Chala","start":"05:04","end":"06:42","startHours":29.074622126565806,"endHours":30.701529565744174,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:42","end":"07:42","startHours":6.701529565744176,"endHours":7.701529565744176,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:42","end":"08:42","startHours":7.701529565744176,"endHours":8.701529565744176,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:42","end":"09:42","startHours":8.701529565744176,"endHours":9.701529565744176,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:42","end":"10:42","startHours":9.701529565744176,"endHours":10.701529565744176,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:42","end":"11:42","startHours":10.701529565744176,"endHours":11.701529565744176,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:42","end":"12:42","startHours":11.701529565744176,"endHours":12.701529565744176,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:42","end":"13:42","startHours":12.701529565744176,"endHours":13.701529565744176,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:42","end":"14:42","startHours":13.701529565744176,"endHours":14.701529565744176,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:42","end":"15:42","startHours":14.701529565744176,"endHours":15.701529565744176,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:42","end":"16:42","startHours":15.701529565744176,"endHours":16.701529565744174,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:42","end":"17:42","startHours":16.701529565744174,"endHours":17.701529565744174,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:42","end":"18:42","startHours":17.701529565744174,"endHours":18.701529565744174,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:42","end":"19:42","startHours":18.701529565744174,"endHours":19.701529565744174,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:42","end":"20:42","startHours":19.701529565744174,"endHours":20.701529565744174,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:42","end":"21:42","startHours":20.701529565744174,"endHours":21.701529565744174,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:42","end":"22:42","startHours":21.701529565744174,"endHours":22.701529565744174,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:42","end":"23:42","startHours":22.701529565744174,"endHours":23.701529565744174,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:42","end":"00:42","startHours":23.701529565744174,"endHours":24.701529565744174,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:42","end":"01:42","startHours":24.701529565744174,"endHours":25.701529565744174,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:42","end":"02:42","startHours":25.701529565744174,"endHours":26.701529565744174,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:42","end":"03:42","startHours":26.701529565744174,"endHours":27.701529565744174,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:42","end":"04:42","startHours":27.701529565744174,"endHours":28.701529565744174,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:42","end":"05:42","startHours":28.701529565744174,"endHours":29.701529565744174,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:42","end":"06:42","startHours":29.701529565744174,"endHours":30.701529565744174,"planetary_lord":"Venus"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.52337480447147,"eotMinutes":-13.52958854184206,"ayanamsa":24.0078}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"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":"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":"varanasi"},"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, 2011 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"January 31, 2011 CE for Vārāṇasī (Kāśī): Kṛṣṇa Trayodaśī, sūryodaya 06:42, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2011-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2011-01-31","sa":"https://sa.vidhyamitra.com/city/varanasi/2011-01-31","hi":"https://hi.vidhyamitra.com/city/varanasi/2011-01-31","x-default":"https://vidhyamitra.com/city/varanasi/2011-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:34:37.428Z","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":"2026-05-14T09:34:37.428Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:34:37.428Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}