{"id":"vidhyamitra:city-day:beijing:1981-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/beijing/1981-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-07-15","date_display":"July 15, 1981 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":1981,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444800.770833,"kali_year":5083,"ahargana":1856335.2708,"sun":{"sidereal_longitude":88.4983,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":242.8318,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.3335,"elapsed_within_tithi_degrees":10.3335},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.8318,"elapsed_within_degrees":2.8318},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.3301},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":1981,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444800.770833,"ahargana":1856335.2708,"kali_year":5083,"ayanamsa_lahiri":23.5951,"grahas":{"sun":{"sidereal_longitude":88.88468899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":244.12258900000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":2.8662},"mars":{"sidereal_longitude":64.393189,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":68.39868899999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":160.35768899999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":115.14348900000005,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":160.42728899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":102.424,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":282.424,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444800.770833,"kali_year":5083,"ahargana":1856335.2708,"sun":{"sidereal_longitude":88.4983,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":242.8318,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.3335,"elapsed_within_tithi_degrees":10.3335},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.8318,"elapsed_within_degrees":2.8318},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.3301},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.866,"elongation":154.334},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.866,"opposition_distance":25.666}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":1.092,"opposition_distance":2.128},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":0.181,"elongation":0.207}]},"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":"04:58","sunsetLocal":"19:42","solarNoonLocal":"12:20","dayLengthHours":14.738780769686345,"dayLengthDisplay":"14 Hours 44 Mins 20 Secs","nightLengthDisplay":"9 Hours 15 Mins 40 Secs","moonriseLocal":"18:02","moonsetLocal":"03:20","rahuKala":{"name":"Rāhu Kāla","start":"12:20","end":"14:11","startHours":12.33324685177292,"endHours":14.175594447983713,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:48","end":"08:39","startHours":6.806204063140539,"endHours":8.648551659351332,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:29","end":"12:20","startHours":10.490899255562127,"endHours":12.33324685177292,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:54","startHours":8.402905313189894,"endHours":8.894198005512772,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:35","end":"05:58","startHours":5.577972332333344,"endHours":5.971006486191646,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:49","startHours":11.841954159450042,"endHours":12.824539544095797,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:00","end":"03:59","startHours":2.9986856976382334,"endHours":3.98127108228399,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:44","end":"04:58","startHours":3.735624736122551,"endHours":4.963856466929746,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:47","end":"15:46","startHours":14.789710313387308,"endHours":15.772295698033064,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:30","end":"19:54","startHours":19.502637236616092,"endHours":19.90263723661609,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:42","end":"20:19","startHours":19.70263723661609,"endHours":20.31675310201969,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:27","end":"21:12","startHours":19.45263723661609,"endHours":21.20263723661609,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:49","startHours":23.84195415945004,"endHours":24.8245395440958,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"04:58","end":"06:48","startHours":4.963856466929746,"endHours":6.806204063140539,"quality":"auspicious"},{"name":"Amṛta","start":"06:48","end":"08:39","startHours":6.806204063140539,"endHours":8.648551659351332,"quality":"auspicious"},{"name":"Kāla","start":"08:39","end":"10:29","startHours":8.648551659351332,"endHours":10.490899255562127,"quality":"inauspicious"},{"name":"Śubha","start":"10:29","end":"12:20","startHours":10.490899255562127,"endHours":12.33324685177292,"quality":"auspicious"},{"name":"Roga","start":"12:20","end":"14:11","startHours":12.33324685177292,"endHours":14.175594447983713,"quality":"inauspicious"},{"name":"Udveg","start":"14:11","end":"16:01","startHours":14.175594447983713,"endHours":16.017942044194506,"quality":"inauspicious"},{"name":"Chala","start":"16:01","end":"17:52","startHours":16.017942044194506,"endHours":17.8602896404053,"quality":"neutral"},{"name":"Labha","start":"17:52","end":"19:42","startHours":17.8602896404053,"endHours":19.70263723661609,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:42","end":"20:52","startHours":19.70263723661609,"endHours":20.8602896404053,"quality":"inauspicious"},{"name":"Chala","start":"20:52","end":"22:01","startHours":20.8602896404053,"endHours":22.017942044194506,"quality":"neutral"},{"name":"Labha","start":"22:01","end":"23:11","startHours":22.017942044194506,"endHours":23.175594447983713,"quality":"auspicious"},{"name":"Amṛta","start":"23:11","end":"00:20","startHours":23.175594447983713,"endHours":24.33324685177292,"quality":"auspicious"},{"name":"Kāla","start":"00:20","end":"01:29","startHours":24.33324685177292,"endHours":25.490899255562127,"quality":"inauspicious"},{"name":"Śubha","start":"01:29","end":"02:39","startHours":25.490899255562127,"endHours":26.648551659351334,"quality":"auspicious"},{"name":"Roga","start":"02:39","end":"03:48","startHours":26.648551659351334,"endHours":27.80620406314054,"quality":"inauspicious"},{"name":"Udveg","start":"03:48","end":"04:58","startHours":27.80620406314054,"endHours":28.963856466929748,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:58","end":"05:58","startHours":4.963856466929746,"endHours":5.963856466929746,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"05:58","end":"06:58","startHours":5.963856466929746,"endHours":6.963856466929746,"planetary_lord":"Venus"},{"name":"Hora 3","start":"06:58","end":"07:58","startHours":6.963856466929746,"endHours":7.963856466929746,"planetary_lord":"Sun"},{"name":"Hora 4","start":"07:58","end":"08:58","startHours":7.963856466929746,"endHours":8.963856466929746,"planetary_lord":"Mars"},{"name":"Hora 5","start":"08:58","end":"09:58","startHours":8.963856466929746,"endHours":9.963856466929746,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"09:58","end":"10:58","startHours":9.963856466929746,"endHours":10.963856466929746,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"10:58","end":"11:58","startHours":10.963856466929746,"endHours":11.963856466929746,"planetary_lord":"Moon"},{"name":"Hora 8","start":"11:58","end":"12:58","startHours":11.963856466929746,"endHours":12.963856466929746,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"12:58","end":"13:58","startHours":12.963856466929746,"endHours":13.963856466929746,"planetary_lord":"Venus"},{"name":"Hora 10","start":"13:58","end":"14:58","startHours":13.963856466929746,"endHours":14.963856466929746,"planetary_lord":"Sun"},{"name":"Hora 11","start":"14:58","end":"15:58","startHours":14.963856466929746,"endHours":15.963856466929746,"planetary_lord":"Mars"},{"name":"Hora 12","start":"15:58","end":"16:58","startHours":15.963856466929746,"endHours":16.963856466929748,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"16:58","end":"17:58","startHours":16.963856466929748,"endHours":17.963856466929748,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"17:58","end":"18:58","startHours":17.963856466929748,"endHours":18.963856466929748,"planetary_lord":"Moon"},{"name":"Hora 15","start":"18:58","end":"19:58","startHours":18.963856466929748,"endHours":19.963856466929748,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"19:58","end":"20:58","startHours":19.963856466929748,"endHours":20.963856466929748,"planetary_lord":"Venus"},{"name":"Hora 17","start":"20:58","end":"21:58","startHours":20.963856466929748,"endHours":21.963856466929748,"planetary_lord":"Sun"},{"name":"Hora 18","start":"21:58","end":"22:58","startHours":21.963856466929748,"endHours":22.963856466929748,"planetary_lord":"Mars"},{"name":"Hora 19","start":"22:58","end":"23:58","startHours":22.963856466929748,"endHours":23.963856466929748,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"23:58","end":"00:58","startHours":23.963856466929748,"endHours":24.963856466929748,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"00:58","end":"01:58","startHours":24.963856466929748,"endHours":25.963856466929748,"planetary_lord":"Moon"},{"name":"Hora 22","start":"01:58","end":"02:58","startHours":25.963856466929748,"endHours":26.963856466929748,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"02:58","end":"03:58","startHours":26.963856466929748,"endHours":27.963856466929748,"planetary_lord":"Venus"},{"name":"Hora 24","start":"03:58","end":"04:58","startHours":27.963856466929748,"endHours":28.963856466929748,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.56216800732594,"eotMinutes":-5.583611106375076,"ayanamsa":23.5951}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Trayodaśī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"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":"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":"beijing"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 15, 1981 CE · Beijing, Beijing · Vidhyamitra","description":"July 15, 1981 CE for Beijing, Beijing: Śukla Trayodaśī, sūryodaya 04:58, sūryāsta 19:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/beijing/1981-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/beijing/1981-07-15","sa":"https://sa.vidhyamitra.com/city/beijing/1981-07-15","hi":"https://hi.vidhyamitra.com/city/beijing/1981-07-15","x-default":"https://vidhyamitra.com/city/beijing/1981-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:19:49.983Z","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":"2026-06-01T23:19:49.983Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:19:49.983Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}