{"id":"vidhyamitra:city-day:beijing:2011-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/beijing/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":"beijing","name":"Beijing, Beijing","lat":39.9075,"lon":116.3972,"tz_offset_hours":8,"state":"Beijing","country":"CN","tier":"mega"},"tier2":{"city":{"slug":"beijing","name":"Beijing, Beijing","lat":39.9075,"lon":116.3972,"tz_offset_hours":8,"state":"Beijing","country":"CN","tier":"mega"},"sunriseLocal":"07:24","sunsetLocal":"17:31","solarNoonLocal":"12:28","dayLengthHours":10.115382049483404,"dayLengthDisplay":"10 Hours 06 Mins 55 Secs","nightLengthDisplay":"13 Hours 53 Mins 05 Secs","moonriseLocal":"05:29","moonsetLocal":"14:47","rahuKala":{"name":"Rāhu Kāla","start":"08:40","end":"09:56","startHours":8.672411540474425,"endHours":9.93683429665985,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:12","end":"12:28","startHours":11.201257052845275,"endHours":12.4656798090307,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:44","end":"15:00","startHours":13.730102565216125,"endHours":14.994525321401552,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:46","end":"10:06","startHours":9.768244595835126,"endHours":10.105423997484573,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:50","end":"08:06","startHours":7.829463036350807,"endHours":8.099206557670366,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:48","startHours":12.128500407381255,"endHours":12.802859210680149,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:04","end":"06:44","startHours":6.059271177691212,"endHours":6.733629980990105,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:34","end":"07:24","startHours":6.565040280165381,"endHours":7.407988784288999,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:50","startHours":14.151576817277935,"endHours":14.825935620576828,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.323370833772405,"endHours":17.723370833772403,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:57","startHours":17.523370833772404,"endHours":17.944845085834213,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.273370833772404,"endHours":19.023370833772404,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:48","startHours":24.128500407381257,"endHours":24.80285921068015,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:24","end":"08:40","startHours":7.407988784288999,"endHours":8.672411540474425,"quality":"auspicious"},{"name":"Kāla","start":"08:40","end":"09:56","startHours":8.672411540474425,"endHours":9.93683429665985,"quality":"inauspicious"},{"name":"Śubha","start":"09:56","end":"11:12","startHours":9.93683429665985,"endHours":11.201257052845275,"quality":"auspicious"},{"name":"Roga","start":"11:12","end":"12:28","startHours":11.201257052845275,"endHours":12.4656798090307,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:44","startHours":12.4656798090307,"endHours":13.730102565216125,"quality":"inauspicious"},{"name":"Chala","start":"13:44","end":"15:00","startHours":13.730102565216125,"endHours":14.994525321401552,"quality":"neutral"},{"name":"Labha","start":"15:00","end":"16:16","startHours":14.994525321401552,"endHours":16.25894807758698,"quality":"auspicious"},{"name":"Amṛta","start":"16:16","end":"17:31","startHours":16.25894807758698,"endHours":17.523370833772404,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:31","end":"19:16","startHours":17.523370833772404,"endHours":19.25894807758698,"quality":"neutral"},{"name":"Labha","start":"19:16","end":"21:00","startHours":19.25894807758698,"endHours":20.994525321401554,"quality":"auspicious"},{"name":"Amṛta","start":"21:00","end":"22:44","startHours":20.994525321401554,"endHours":22.73010256521613,"quality":"auspicious"},{"name":"Kāla","start":"22:44","end":"00:28","startHours":22.73010256521613,"endHours":24.465679809030703,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"02:12","startHours":24.465679809030703,"endHours":26.20125705284528,"quality":"auspicious"},{"name":"Roga","start":"02:12","end":"03:56","startHours":26.20125705284528,"endHours":27.93683429665985,"quality":"inauspicious"},{"name":"Udveg","start":"03:56","end":"05:40","startHours":27.93683429665985,"endHours":29.672411540474425,"quality":"inauspicious"},{"name":"Chala","start":"05:40","end":"07:24","startHours":29.672411540474425,"endHours":31.407988784289,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:24","end":"08:24","startHours":7.407988784288999,"endHours":8.407988784289,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:24","end":"09:24","startHours":8.407988784289,"endHours":9.407988784289,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:24","end":"10:24","startHours":9.407988784289,"endHours":10.407988784289,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:24","end":"11:24","startHours":10.407988784289,"endHours":11.407988784289,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:24","end":"12:24","startHours":11.407988784289,"endHours":12.407988784289,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:24","end":"13:24","startHours":12.407988784289,"endHours":13.407988784289,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:24","end":"14:24","startHours":13.407988784289,"endHours":14.407988784289,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:24","end":"15:24","startHours":14.407988784289,"endHours":15.407988784289,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:24","end":"16:24","startHours":15.407988784289,"endHours":16.407988784289,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:24","end":"17:24","startHours":16.407988784289,"endHours":17.407988784289,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:24","end":"18:24","startHours":17.407988784289,"endHours":18.407988784289,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:24","end":"19:24","startHours":18.407988784289,"endHours":19.407988784289,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:24","end":"20:24","startHours":19.407988784289,"endHours":20.407988784289,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:24","end":"21:24","startHours":20.407988784289,"endHours":21.407988784289,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:24","end":"22:24","startHours":21.407988784289,"endHours":22.407988784289,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:24","end":"23:24","startHours":22.407988784289,"endHours":23.407988784289,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:24","end":"00:24","startHours":23.407988784289,"endHours":24.407988784289,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:24","end":"01:24","startHours":24.407988784289,"endHours":25.407988784289,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:24","end":"02:24","startHours":25.407988784289,"endHours":26.407988784289,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:24","end":"03:24","startHours":26.407988784289,"endHours":27.407988784289,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:24","end":"04:24","startHours":27.407988784289,"endHours":28.407988784289,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:24","end":"05:24","startHours":28.407988784289,"endHours":29.407988784289,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:24","end":"06:24","startHours":29.407988784289,"endHours":30.407988784289,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:24","end":"07:24","startHours":30.407988784289,"endHours":31.407988784289,"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"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.52337480447147,"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","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":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"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":"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":"beijing"},"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 · Beijing, Beijing · Vidhyamitra","description":"January 31, 2011 CE for Beijing, Beijing: Kṛṣṇa Trayodaśī, sūryodaya 07:24, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/beijing/2011-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/beijing/2011-01-31","sa":"https://sa.vidhyamitra.com/city/beijing/2011-01-31","hi":"https://hi.vidhyamitra.com/city/beijing/2011-01-31","x-default":"https://vidhyamitra.com/city/beijing/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":"2026-05-31T06:49:10.700Z","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":"2026-05-31T06:49:10.700Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:49:10.700Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}