{"id":"vidhyamitra:city-day:beijing:2102-06-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/beijing/2102-06-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-06-13","date_display":"June 13, 2102 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":2102,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488962.770833,"kali_year":5204,"ahargana":1900497.2708,"sun":{"sidereal_longitude":56.0043,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":25.6664,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.662,"elapsed_within_tithi_degrees":5.662},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.6664,"elapsed_within_degrees":12.333},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.6707},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2102,"month":6,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488962.770833,"ahargana":1900497.2708,"kali_year":5204,"ayanamsa_lahiri":25.2841,"grahas":{"sun":{"sidereal_longitude":56.44257600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.551675999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":4.3816},"mars":{"sidereal_longitude":107.93947600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":35.85207600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":233.2840759999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":26.24447600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":198.24307599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":282.5088,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.5088,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"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":2102,"month":6,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488962.770833,"kali_year":5204,"ahargana":1900497.2708,"sun":{"sidereal_longitude":56.0043,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":25.6664,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.662,"elapsed_within_tithi_degrees":5.662},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.6664,"elapsed_within_degrees":12.333},"yoga":{"number":7,"name":"Sukarma","sum_longitude":81.6707},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.382,"elongation":30.338},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.382,"opposition_distance":149.662}},"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":"04:45","sunsetLocal":"19:43","solarNoonLocal":"12:14","dayLengthHours":14.967107908316173,"dayLengthDisplay":"14 Hours 58 Mins 02 Secs","nightLengthDisplay":"9 Hours 01 Mins 58 Secs","moonriseLocal":"03:07","moonsetLocal":"17:22","rahuKala":{"name":"Rāhu Kāla","start":"15:59","end":"17:51","startHours":15.97837731710236,"endHours":17.849265805641885,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"10:22","startHours":8.494823362944274,"endHours":10.365711851483796,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:14","end":"14:06","startHours":12.236600340023319,"endHours":14.10748882856284,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:15","end":"08:45","startHours":8.24537156447234,"endHours":8.744275161416212,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:23","end":"05:47","startHours":5.376675882045072,"endHours":5.77579875960017,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:44","startHours":11.737696743079447,"endHours":12.735503936967191,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:45","end":"03:45","startHours":2.757431998089742,"endHours":3.755239191977487,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:30","end":"04:45","startHours":3.5057873935055506,"endHours":4.753046385865232,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:44","startHours":14.731118324742681,"endHours":15.728925518630426,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:31","end":"19:55","startHours":19.520154294181406,"endHours":19.920154294181405,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:43","end":"20:21","startHours":19.720154294181405,"endHours":20.343783790361247,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:28","end":"21:13","startHours":19.470154294181405,"endHours":21.220154294181405,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:44","startHours":23.737696743079447,"endHours":24.73550393696719,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"04:45","end":"06:37","startHours":4.753046385865232,"endHours":6.623934874404753,"quality":"inauspicious"},{"name":"Udveg","start":"06:37","end":"08:30","startHours":6.623934874404753,"endHours":8.494823362944274,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"10:22","startHours":8.494823362944274,"endHours":10.365711851483796,"quality":"neutral"},{"name":"Labha","start":"10:22","end":"12:14","startHours":10.365711851483796,"endHours":12.236600340023319,"quality":"auspicious"},{"name":"Amṛta","start":"12:14","end":"14:06","startHours":12.236600340023319,"endHours":14.10748882856284,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:59","startHours":14.10748882856284,"endHours":15.97837731710236,"quality":"inauspicious"},{"name":"Śubha","start":"15:59","end":"17:51","startHours":15.97837731710236,"endHours":17.849265805641885,"quality":"auspicious"},{"name":"Roga","start":"17:51","end":"19:43","startHours":17.849265805641885,"endHours":19.720154294181405,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:43","end":"20:51","startHours":19.720154294181405,"endHours":20.849265805641885,"quality":"inauspicious"},{"name":"Śubha","start":"20:51","end":"21:59","startHours":20.849265805641885,"endHours":21.978377317102364,"quality":"auspicious"},{"name":"Roga","start":"21:59","end":"23:06","startHours":21.978377317102364,"endHours":23.10748882856284,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:14","startHours":23.10748882856284,"endHours":24.23660034002332,"quality":"inauspicious"},{"name":"Chala","start":"00:14","end":"01:22","startHours":24.23660034002332,"endHours":25.3657118514838,"quality":"neutral"},{"name":"Labha","start":"01:22","end":"02:30","startHours":25.3657118514838,"endHours":26.494823362944274,"quality":"auspicious"},{"name":"Amṛta","start":"02:30","end":"03:37","startHours":26.494823362944274,"endHours":27.623934874404753,"quality":"auspicious"},{"name":"Kāla","start":"03:37","end":"04:45","startHours":27.623934874404753,"endHours":28.753046385865233,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:45","end":"05:45","startHours":4.753046385865232,"endHours":5.753046385865232,"planetary_lord":"Mars"},{"name":"Hora 2","start":"05:45","end":"06:45","startHours":5.753046385865232,"endHours":6.753046385865232,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"06:45","end":"07:45","startHours":6.753046385865232,"endHours":7.753046385865232,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"07:45","end":"08:45","startHours":7.753046385865232,"endHours":8.753046385865233,"planetary_lord":"Moon"},{"name":"Hora 5","start":"08:45","end":"09:45","startHours":8.753046385865233,"endHours":9.753046385865233,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"09:45","end":"10:45","startHours":9.753046385865233,"endHours":10.753046385865233,"planetary_lord":"Venus"},{"name":"Hora 7","start":"10:45","end":"11:45","startHours":10.753046385865233,"endHours":11.753046385865233,"planetary_lord":"Sun"},{"name":"Hora 8","start":"11:45","end":"12:45","startHours":11.753046385865233,"endHours":12.753046385865233,"planetary_lord":"Mars"},{"name":"Hora 9","start":"12:45","end":"13:45","startHours":12.753046385865233,"endHours":13.753046385865233,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"13:45","end":"14:45","startHours":13.753046385865233,"endHours":14.753046385865233,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"14:45","end":"15:45","startHours":14.753046385865233,"endHours":15.753046385865233,"planetary_lord":"Moon"},{"name":"Hora 12","start":"15:45","end":"16:45","startHours":15.753046385865233,"endHours":16.753046385865233,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"16:45","end":"17:45","startHours":16.753046385865233,"endHours":17.753046385865233,"planetary_lord":"Venus"},{"name":"Hora 14","start":"17:45","end":"18:45","startHours":17.753046385865233,"endHours":18.753046385865233,"planetary_lord":"Sun"},{"name":"Hora 15","start":"18:45","end":"19:45","startHours":18.753046385865233,"endHours":19.753046385865233,"planetary_lord":"Mars"},{"name":"Hora 16","start":"19:45","end":"20:45","startHours":19.753046385865233,"endHours":20.753046385865233,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"20:45","end":"21:45","startHours":20.753046385865233,"endHours":21.753046385865233,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"21:45","end":"22:45","startHours":21.753046385865233,"endHours":22.753046385865233,"planetary_lord":"Moon"},{"name":"Hora 19","start":"22:45","end":"23:45","startHours":22.753046385865233,"endHours":23.753046385865233,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"23:45","end":"00:45","startHours":23.753046385865233,"endHours":24.753046385865233,"planetary_lord":"Venus"},{"name":"Hora 21","start":"00:45","end":"01:45","startHours":24.753046385865233,"endHours":25.753046385865233,"planetary_lord":"Sun"},{"name":"Hora 22","start":"01:45","end":"02:45","startHours":25.753046385865233,"endHours":26.753046385865233,"planetary_lord":"Mars"},{"name":"Hora 23","start":"02:45","end":"03:45","startHours":26.753046385865233,"endHours":27.753046385865233,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"03:45","end":"04:45","startHours":27.753046385865233,"endHours":28.753046385865233,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.178265415051964,"eotMinutes":0.2151795986009022,"ayanamsa":25.2841}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha (Adhika) Kṛṣṇa Trayodaśī · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 June 13, 2102 CE · Beijing, Beijing · Vidhyamitra","description":"June 13, 2102 CE for Beijing, Beijing: Kṛṣṇa Trayodaśī, sūryodaya 04:45, sūryāsta 19:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/beijing/2102-06-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/beijing/2102-06-13","sa":"https://sa.vidhyamitra.com/city/beijing/2102-06-13","hi":"https://hi.vidhyamitra.com/city/beijing/2102-06-13","x-default":"https://vidhyamitra.com/city/beijing/2102-06-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:35:12.968Z","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":"2026-06-02T18:35:12.968Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:35:12.968Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}