{"id":"vidhyamitra:city-day:toronto:2015-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/toronto/2015-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-14","date_display":"December 14, 2015 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2015,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457370.770833,"kali_year":5117,"ahargana":1868905.2708,"sun":{"sidereal_longitude":237.193,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":268.713,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.5199,"elapsed_within_tithi_degrees":7.5199},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.713,"elapsed_within_degrees":2.0463},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.906},"karana":{"half_tithi_index":5,"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":2015,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457370.770833,"ahargana":1868905.2708,"kali_year":5117,"ayanamsa_lahiri":24.0758,"grahas":{"sun":{"sidereal_longitude":237.630223,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":269.228123,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":4.1626},"mars":{"sidereal_longitude":174.07962299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":251.81062299999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":147.43922299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":196.174623,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.80702300000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":156.4049,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":336.4049,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2015,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457370.770833,"kali_year":5117,"ahargana":1868905.2708,"sun":{"sidereal_longitude":237.193,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":268.713,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.5199,"elapsed_within_tithi_degrees":7.5199},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.713,"elapsed_within_degrees":2.0463},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.906},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.163,"elongation":31.52},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.163,"opposition_distance":148.48}},"eclipse_window_40days":[]},"city":{"slug":"toronto","name":"Toronto, Canada","lat":43.6532,"lon":-79.3832,"tz_offset_hours":-5,"country":"CA","tier":"diaspora"},"tier2":{"city":{"slug":"toronto","name":"Toronto, Canada","lat":43.6532,"lon":-79.3832,"tz_offset_hours":-5,"country":"CA","tier":"diaspora"},"sunriseLocal":"07:44","sunsetLocal":"16:42","solarNoonLocal":"12:13","dayLengthHours":8.967591088714713,"dayLengthDisplay":"8 Hours 58 Mins 03 Secs","nightLengthDisplay":"15 Hours 01 Mins 57 Secs","moonriseLocal":"09:44","moonsetLocal":"18:55","rahuKala":{"name":"Rāhu Kāla","start":"08:51","end":"09:58","startHours":8.852100178831456,"endHours":9.973049064920797,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:06","end":"12:13","startHours":11.093997951010135,"endHours":12.214946837099475,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:20","end":"14:27","startHours":13.335895723188813,"endHours":14.456844609278154,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:49","end":"10:07","startHours":9.823589213442219,"endHours":10.122508916399376,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:06","end":"08:21","startHours":8.104800921438564,"endHours":8.343936683804289,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:31","startHours":11.916027134142318,"endHours":12.513866540056632,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:32","end":"07:08","startHours":6.53547248091349,"endHours":7.133311886827804,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:59","end":"07:44","startHours":6.9838520353492255,"endHours":7.731151292742118,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:18","startHours":13.70954535188526,"endHours":14.307384757799575,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:30","end":"16:54","startHours":16.498742381456832,"endHours":16.89874238145683,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:42","end":"17:04","startHours":16.69874238145683,"endHours":17.07239201015328,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:27","end":"18:12","startHours":16.44874238145683,"endHours":18.19874238145683,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:31","startHours":23.91602713414232,"endHours":24.513866540056632,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:44","end":"08:51","startHours":7.731151292742118,"endHours":8.852100178831456,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"09:58","startHours":8.852100178831456,"endHours":9.973049064920797,"quality":"inauspicious"},{"name":"Śubha","start":"09:58","end":"11:06","startHours":9.973049064920797,"endHours":11.093997951010135,"quality":"auspicious"},{"name":"Roga","start":"11:06","end":"12:13","startHours":11.093997951010135,"endHours":12.214946837099475,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:20","startHours":12.214946837099475,"endHours":13.335895723188813,"quality":"inauspicious"},{"name":"Chala","start":"13:20","end":"14:27","startHours":13.335895723188813,"endHours":14.456844609278154,"quality":"neutral"},{"name":"Labha","start":"14:27","end":"15:35","startHours":14.456844609278154,"endHours":15.57779349536749,"quality":"auspicious"},{"name":"Amṛta","start":"15:35","end":"16:42","startHours":15.57779349536749,"endHours":16.69874238145683,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"16:42","end":"18:35","startHours":16.69874238145683,"endHours":18.577793495367494,"quality":"neutral"},{"name":"Labha","start":"18:35","end":"20:27","startHours":18.577793495367494,"endHours":20.456844609278154,"quality":"auspicious"},{"name":"Amṛta","start":"20:27","end":"22:20","startHours":20.456844609278154,"endHours":22.335895723188813,"quality":"auspicious"},{"name":"Kāla","start":"22:20","end":"00:13","startHours":22.335895723188813,"endHours":24.214946837099475,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"02:06","startHours":24.214946837099475,"endHours":26.093997951010138,"quality":"auspicious"},{"name":"Roga","start":"02:06","end":"03:58","startHours":26.093997951010138,"endHours":27.973049064920797,"quality":"inauspicious"},{"name":"Udveg","start":"03:58","end":"05:51","startHours":27.973049064920797,"endHours":29.852100178831456,"quality":"inauspicious"},{"name":"Chala","start":"05:51","end":"07:44","startHours":29.852100178831456,"endHours":31.73115129274212,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:44","end":"08:44","startHours":7.731151292742118,"endHours":8.731151292742119,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:44","end":"09:44","startHours":8.731151292742119,"endHours":9.731151292742119,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:44","end":"10:44","startHours":9.731151292742119,"endHours":10.731151292742119,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:44","end":"11:44","startHours":10.731151292742119,"endHours":11.731151292742119,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:44","end":"12:44","startHours":11.731151292742119,"endHours":12.731151292742119,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:44","end":"13:44","startHours":12.731151292742119,"endHours":13.731151292742119,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:44","end":"14:44","startHours":13.731151292742119,"endHours":14.731151292742119,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:44","end":"15:44","startHours":14.731151292742119,"endHours":15.731151292742119,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:44","end":"16:44","startHours":15.731151292742119,"endHours":16.73115129274212,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:44","end":"17:44","startHours":16.73115129274212,"endHours":17.73115129274212,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:44","end":"18:44","startHours":17.73115129274212,"endHours":18.73115129274212,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:44","end":"19:44","startHours":18.73115129274212,"endHours":19.73115129274212,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:44","end":"20:44","startHours":19.73115129274212,"endHours":20.73115129274212,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:44","end":"21:44","startHours":20.73115129274212,"endHours":21.73115129274212,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:44","end":"22:44","startHours":21.73115129274212,"endHours":22.73115129274212,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:44","end":"23:44","startHours":22.73115129274212,"endHours":23.73115129274212,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:44","end":"00:44","startHours":23.73115129274212,"endHours":24.73115129274212,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:44","end":"01:44","startHours":24.73115129274212,"endHours":25.73115129274212,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:44","end":"02:44","startHours":25.73115129274212,"endHours":26.73115129274212,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:44","end":"03:44","startHours":26.73115129274212,"endHours":27.73115129274212,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:44","end":"04:44","startHours":27.73115129274212,"endHours":28.73115129274212,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:44","end":"05:44","startHours":28.73115129274212,"endHours":29.73115129274212,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:44","end":"06:44","startHours":29.73115129274212,"endHours":30.73115129274212,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:44","end":"07:44","startHours":30.73115129274212,"endHours":31.73115129274212,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.176978033861083,"eotMinutes":4.63598977403141,"ayanamsa":24.0758}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Tṛtīyā · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"toronto"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 14, 2015 CE · Toronto, Canada · Vidhyamitra","description":"December 14, 2015 CE for Toronto, Canada: Śukla Tṛtīyā, sūryodaya 07:44, sūryāsta 16:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/toronto/2015-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/toronto/2015-12-14","sa":"https://sa.vidhyamitra.com/city/toronto/2015-12-14","hi":"https://hi.vidhyamitra.com/city/toronto/2015-12-14","x-default":"https://vidhyamitra.com/city/toronto/2015-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:07:46.029Z","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":"2026-08-10T12:07:46.029Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:07:46.029Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}