{"id":"vidhyamitra:city-day:ayodhya:1987-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/1987-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1987-12-15","date_display":"December 15, 1987 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":1987,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2447144.770833,"kali_year":5089,"ahargana":1858679.2708,"sun":{"sidereal_longitude":238.4702,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":168.0928,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.6226,"elapsed_within_tithi_degrees":1.6226},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":168.0928,"elapsed_within_degrees":8.0928},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.563},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":1987,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2447144.770833,"ahargana":1858679.2708,"kali_year":5089,"ayanamsa_lahiri":23.6847,"grahas":{"sun":{"sidereal_longitude":238.83003099999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":166.24713099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-0.7702},"mars":{"sidereal_longitude":200.20423099999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":234.35223100000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":356.758131,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":267.553631,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":239.456731,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":338.2276,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":158.2276,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"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":1987,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2447144.770833,"kali_year":5089,"ahargana":1858679.2708,"sun":{"sidereal_longitude":238.4702,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":168.0928,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.6226,"elapsed_within_tithi_degrees":1.6226},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":168.0928,"elapsed_within_degrees":8.0928},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.563},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.77,"elongation":70.377},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.77,"opposition_distance":109.623}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:43","sunsetLocal":"17:11","solarNoonLocal":"11:57","dayLengthHours":10.469303643721254,"dayLengthDisplay":"10 Hours 28 Mins 09 Secs","nightLengthDisplay":"13 Hours 31 Mins 51 Secs","moonriseLocal":"01:12","moonsetLocal":"13:01","rahuKala":{"name":"Rāhu Kāla","start":"14:34","end":"15:53","startHours":14.567426993704112,"endHours":15.87608994916927,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:20","end":"10:38","startHours":9.332775171843485,"endHours":10.641438127308643,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:57","end":"13:16","startHours":11.950101082773799,"endHours":13.258764038238954,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:30","startHours":9.158286777781464,"endHours":9.507263565905506,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:09","end":"07:26","startHours":7.151670246068224,"endHours":7.430851676567457,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:18","startHours":11.601124294649757,"endHours":12.29907787089784,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:19","end":"06:01","startHours":5.3195421084170045,"endHours":6.0174956846650876,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:43","startHours":5.843007290603067,"endHours":6.7154492609131715,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:24","startHours":13.694985023394008,"endHours":14.392938599642092,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.984752904634426,"endHours":17.384752904634425,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:37","startHours":17.184752904634426,"endHours":17.62097388978948,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.934752904634426,"endHours":18.684752904634426,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:18","startHours":23.601124294649757,"endHours":24.29907787089784,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:43","end":"08:01","startHours":6.7154492609131715,"endHours":8.024112216378327,"quality":"inauspicious"},{"name":"Udveg","start":"08:01","end":"09:20","startHours":8.024112216378327,"endHours":9.332775171843485,"quality":"inauspicious"},{"name":"Chala","start":"09:20","end":"10:38","startHours":9.332775171843485,"endHours":10.641438127308643,"quality":"neutral"},{"name":"Labha","start":"10:38","end":"11:57","startHours":10.641438127308643,"endHours":11.950101082773799,"quality":"auspicious"},{"name":"Amṛta","start":"11:57","end":"13:16","startHours":11.950101082773799,"endHours":13.258764038238954,"quality":"auspicious"},{"name":"Kāla","start":"13:16","end":"14:34","startHours":13.258764038238954,"endHours":14.567426993704112,"quality":"inauspicious"},{"name":"Śubha","start":"14:34","end":"15:53","startHours":14.567426993704112,"endHours":15.87608994916927,"quality":"auspicious"},{"name":"Roga","start":"15:53","end":"17:11","startHours":15.87608994916927,"endHours":17.184752904634426,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:11","end":"18:53","startHours":17.184752904634426,"endHours":18.87608994916927,"quality":"inauspicious"},{"name":"Śubha","start":"18:53","end":"20:34","startHours":18.87608994916927,"endHours":20.56742699370411,"quality":"auspicious"},{"name":"Roga","start":"20:34","end":"22:16","startHours":20.56742699370411,"endHours":22.258764038238954,"quality":"inauspicious"},{"name":"Udveg","start":"22:16","end":"23:57","startHours":22.258764038238954,"endHours":23.9501010827738,"quality":"inauspicious"},{"name":"Chala","start":"23:57","end":"01:38","startHours":23.9501010827738,"endHours":25.641438127308643,"quality":"neutral"},{"name":"Labha","start":"01:38","end":"03:20","startHours":25.641438127308643,"endHours":27.332775171843487,"quality":"auspicious"},{"name":"Amṛta","start":"03:20","end":"05:01","startHours":27.332775171843487,"endHours":29.024112216378327,"quality":"auspicious"},{"name":"Kāla","start":"05:01","end":"06:43","startHours":29.024112216378327,"endHours":30.71544926091317,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:43","end":"07:43","startHours":6.7154492609131715,"endHours":7.7154492609131715,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:43","end":"08:43","startHours":7.7154492609131715,"endHours":8.715449260913172,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:43","end":"09:43","startHours":8.715449260913172,"endHours":9.715449260913172,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:43","end":"10:43","startHours":9.715449260913172,"endHours":10.715449260913172,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:43","end":"11:43","startHours":10.715449260913172,"endHours":11.715449260913172,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:43","end":"12:43","startHours":11.715449260913172,"endHours":12.715449260913172,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:43","end":"13:43","startHours":12.715449260913172,"endHours":13.715449260913172,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:43","end":"14:43","startHours":13.715449260913172,"endHours":14.715449260913172,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:43","end":"15:43","startHours":14.715449260913172,"endHours":15.715449260913172,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:43","end":"16:43","startHours":15.715449260913172,"endHours":16.71544926091317,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:43","end":"17:43","startHours":16.71544926091317,"endHours":17.71544926091317,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:43","end":"18:43","startHours":17.71544926091317,"endHours":18.71544926091317,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:43","end":"19:43","startHours":18.71544926091317,"endHours":19.71544926091317,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:43","end":"20:43","startHours":19.71544926091317,"endHours":20.71544926091317,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:43","end":"21:43","startHours":20.71544926091317,"endHours":21.71544926091317,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:43","end":"22:43","startHours":21.71544926091317,"endHours":22.71544926091317,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:43","end":"23:43","startHours":22.71544926091317,"endHours":23.71544926091317,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:43","end":"00:43","startHours":23.71544926091317,"endHours":24.71544926091317,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:43","end":"01:43","startHours":24.71544926091317,"endHours":25.71544926091317,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:43","end":"02:43","startHours":25.71544926091317,"endHours":26.71544926091317,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:43","end":"03:43","startHours":26.71544926091317,"endHours":27.71544926091317,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:43","end":"04:43","startHours":27.71544926091317,"endHours":28.71544926091317,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:43","end":"05:43","startHours":28.71544926091317,"endHours":29.71544926091317,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:43","end":"06:43","startHours":29.71544926091317,"endHours":30.71544926091317,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.22501363654442,"eotMinutes":4.177935033572184,"ayanamsa":23.6847}},"calendars":{"vikram_samvat":2044,"vikram_samvatsara":"Vikrama","saka_samvat":1909,"saka_samvatsara":"Prabhava","bengali_samvat":1394,"malayalam_era":1163,"nanakshahi_year":518,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Daśamī · Vikram 2044 Vikrama · Śaka 1909 Prabhava"},"festivals":[],"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":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 15, 1987 CE · Ayodhyā · Vidhyamitra","description":"December 15, 1987 CE for Ayodhyā: Kṛṣṇa Daśamī, sūryodaya 06:43, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/1987-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/1987-12-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/1987-12-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/1987-12-15","x-default":"https://vidhyamitra.com/city/ayodhya/1987-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:44:30.737Z","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":"2026-06-01T00:44:30.737Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:44:30.737Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}