{"id":"vidhyamitra:city-day:beijing:2075-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/beijing/2075-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-20","date_display":"January 20, 2075 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":2075,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478957.770833,"kali_year":5176,"ahargana":1890492.2708,"sun":{"sidereal_longitude":274.9302,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.6822,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.752,"elapsed_within_tithi_degrees":6.752},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.6822,"elapsed_within_degrees":11.0156},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.6125},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2075,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478957.770833,"ahargana":1890492.2708,"kali_year":5176,"ayanamsa_lahiri":24.9014,"grahas":{"sun":{"sidereal_longitude":275.18464100000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":318.52124100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-3.1837},"mars":{"sidereal_longitude":284.787241,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":268.31554099999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":137.549941,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":229.606041,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":229.36724100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":92.6218,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":272.6218,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478957.770833,"kali_year":5176,"ahargana":1890492.2708,"sun":{"sidereal_longitude":274.9302,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.6822,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.752,"elapsed_within_tithi_degrees":6.752},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.6822,"elapsed_within_degrees":11.0156},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.6125},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.184,"elongation":42.752},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.184,"opposition_distance":137.248}},"eclipse_window_40days":[{"offset_days":12,"type":"lunar","occurs":true,"moon_latitude":1.053,"opposition_distance":1.686}]},"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":"07:32","sunsetLocal":"17:19","solarNoonLocal":"12:25","dayLengthHours":9.781243410685335,"dayLengthDisplay":"9 Hours 46 Mins 52 Secs","nightLengthDisplay":"14 Hours 13 Mins 08 Secs","moonriseLocal":"09:38","moonsetLocal":"21:00","rahuKala":{"name":"Rāhu Kāla","start":"16:05","end":"17:19","startHours":16.09089133462749,"endHours":17.313546760963156,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"13:39","startHours":12.422925055620489,"endHours":13.645580481956156,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:52","end":"16:05","startHours":14.868235908291823,"endHours":16.09089133462749,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:49","end":"10:08","startHours":9.814593479437733,"endHours":10.140634926460578,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:56","end":"08:12","startHours":7.9398551590563775,"endHours":8.200688316674652,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:45","startHours":12.096883608597645,"endHours":12.748966502643333,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:14","end":"06:53","startHours":6.228137562186443,"endHours":6.8802204562321325,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:43","end":"07:32","startHours":6.717199732720711,"endHours":7.532303350277822,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:42","startHours":14.053132290734712,"endHours":14.705215184780402,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.113546760963157,"endHours":17.513546760963155,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:43","startHours":17.313546760963156,"endHours":17.721098569741713,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.063546760963156,"endHours":18.813546760963156,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:45","startHours":24.096883608597643,"endHours":24.748966502643334,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:32","end":"08:45","startHours":7.532303350277822,"endHours":8.754958776613488,"quality":"inauspicious"},{"name":"Chala","start":"08:45","end":"09:59","startHours":8.754958776613488,"endHours":9.977614202949155,"quality":"neutral"},{"name":"Labha","start":"09:59","end":"11:12","startHours":9.977614202949155,"endHours":11.200269629284822,"quality":"auspicious"},{"name":"Amṛta","start":"11:12","end":"12:25","startHours":11.200269629284822,"endHours":12.422925055620489,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"13:39","startHours":12.422925055620489,"endHours":13.645580481956156,"quality":"inauspicious"},{"name":"Śubha","start":"13:39","end":"14:52","startHours":13.645580481956156,"endHours":14.868235908291823,"quality":"auspicious"},{"name":"Roga","start":"14:52","end":"16:05","startHours":14.868235908291823,"endHours":16.09089133462749,"quality":"inauspicious"},{"name":"Udveg","start":"16:05","end":"17:19","startHours":16.09089133462749,"endHours":17.313546760963156,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:19","end":"19:05","startHours":17.313546760963156,"endHours":19.09089133462749,"quality":"auspicious"},{"name":"Roga","start":"19:05","end":"20:52","startHours":19.09089133462749,"endHours":20.868235908291823,"quality":"inauspicious"},{"name":"Udveg","start":"20:52","end":"22:39","startHours":20.868235908291823,"endHours":22.645580481956156,"quality":"inauspicious"},{"name":"Chala","start":"22:39","end":"00:25","startHours":22.645580481956156,"endHours":24.42292505562049,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"02:12","startHours":24.42292505562049,"endHours":26.200269629284822,"quality":"auspicious"},{"name":"Amṛta","start":"02:12","end":"03:59","startHours":26.200269629284822,"endHours":27.977614202949155,"quality":"auspicious"},{"name":"Kāla","start":"03:59","end":"05:45","startHours":27.977614202949155,"endHours":29.75495877661349,"quality":"inauspicious"},{"name":"Śubha","start":"05:45","end":"07:32","startHours":29.75495877661349,"endHours":31.53230335027782,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:32","end":"08:32","startHours":7.532303350277822,"endHours":8.532303350277822,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:32","end":"09:32","startHours":8.532303350277822,"endHours":9.532303350277822,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:32","end":"10:32","startHours":9.532303350277822,"endHours":10.532303350277822,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:32","end":"11:32","startHours":10.532303350277822,"endHours":11.532303350277822,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:32","end":"12:32","startHours":11.532303350277822,"endHours":12.532303350277822,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:32","end":"13:32","startHours":12.532303350277822,"endHours":13.532303350277822,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:32","end":"14:32","startHours":13.532303350277822,"endHours":14.532303350277822,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:32","end":"15:32","startHours":14.532303350277822,"endHours":15.532303350277822,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:32","end":"16:32","startHours":15.532303350277822,"endHours":16.53230335027782,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:32","end":"17:32","startHours":16.53230335027782,"endHours":17.53230335027782,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:32","end":"18:32","startHours":17.53230335027782,"endHours":18.53230335027782,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:32","end":"19:32","startHours":18.53230335027782,"endHours":19.53230335027782,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:32","end":"20:32","startHours":19.53230335027782,"endHours":20.53230335027782,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:32","end":"21:32","startHours":20.53230335027782,"endHours":21.53230335027782,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:32","end":"22:32","startHours":21.53230335027782,"endHours":22.53230335027782,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:32","end":"23:32","startHours":22.53230335027782,"endHours":23.53230335027782,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:32","end":"00:32","startHours":23.53230335027782,"endHours":24.53230335027782,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:32","end":"01:32","startHours":24.53230335027782,"endHours":25.53230335027782,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:32","end":"02:32","startHours":25.53230335027782,"endHours":26.53230335027782,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:32","end":"03:32","startHours":26.53230335027782,"endHours":27.53230335027782,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:32","end":"04:32","startHours":27.53230335027782,"endHours":28.53230335027782,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:32","end":"05:32","startHours":28.53230335027782,"endHours":29.53230335027782,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:32","end":"06:32","startHours":29.53230335027782,"endHours":30.53230335027782,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:32","end":"07:32","startHours":30.53230335027782,"endHours":31.53230335027782,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.129757968265643,"eotMinutes":-10.9643033372293,"ayanamsa":24.9014}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"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 Caturthī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 20, 2075 CE · Beijing, Beijing · Vidhyamitra","description":"January 20, 2075 CE for Beijing, Beijing: Śukla Caturthī, sūryodaya 07:32, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/beijing/2075-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/beijing/2075-01-20","sa":"https://sa.vidhyamitra.com/city/beijing/2075-01-20","hi":"https://hi.vidhyamitra.com/city/beijing/2075-01-20","x-default":"https://vidhyamitra.com/city/beijing/2075-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:33:24.539Z","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":"2026-06-03T02:33:24.539Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:33:24.539Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}