{"id":"vidhyamitra:city-day:meerut:2015-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/meerut/2015-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-13","date_display":"December 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457369.770833,"kali_year":5117,"ahargana":1868904.2708,"sun":{"sidereal_longitude":236.1677,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":255.2234,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.0557,"elapsed_within_tithi_degrees":7.0557},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.2234,"elapsed_within_degrees":1.89},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.391},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2015,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457369.770833,"ahargana":1868904.2708,"kali_year":5117,"ayanamsa_lahiri":24.0758,"grahas":{"sun":{"sidereal_longitude":236.61336099999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":255.95476099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":4.4473},"mars":{"sidereal_longitude":173.50276099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":250.27836100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":147.360661,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":194.98736099999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":224.690161,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":156.4579,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":336.4579,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457369.770833,"kali_year":5117,"ahargana":1868904.2708,"sun":{"sidereal_longitude":236.1677,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":255.2234,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":19.0557,"elapsed_within_tithi_degrees":7.0557},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.2234,"elapsed_within_degrees":1.89},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.391},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.447,"elongation":19.056},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.447,"opposition_distance":160.944}},"eclipse_window_40days":[]},"city":{"slug":"meerut","name":"Meerut, Uttar Pradesh","lat":28.9845,"lon":77.7064,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"meerut","name":"Meerut, Uttar Pradesh","lat":28.9845,"lon":77.7064,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:05","sunsetLocal":"17:24","solarNoonLocal":"12:14","dayLengthHours":10.318593753444882,"dayLengthDisplay":"10 Hours 19 Mins 07 Secs","nightLengthDisplay":"13 Hours 40 Mins 53 Secs","moonriseLocal":"08:23","moonsetLocal":"18:40","rahuKala":{"name":"Rāhu Kāla","start":"16:06","end":"17:24","startHours":16.10420182005153,"endHours":17.394026039232138,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:31","startHours":12.234729162509698,"endHours":13.524553381690307,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:49","end":"16:06","startHours":14.814377600870918,"endHours":16.10420182005153,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.483104161591061,"endHours":9.827057286705891,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.505373692180793,"endHours":7.780536192272657,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.890776037394868,"endHours":12.578682287624527,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.699619785327939,"endHours":6.387526035557597,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.215549473000182,"endHours":7.075432285787256,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:39","startHours":13.954494788083844,"endHours":14.642401038313503,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.19402603923214,"endHours":17.594026039232137,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:49","startHours":17.394026039232138,"endHours":17.823967445625673,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.144026039232138,"endHours":18.894026039232138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.89077603739487,"endHours":24.578682287624527,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:05","end":"08:22","startHours":7.075432285787256,"endHours":8.365256504967867,"quality":"inauspicious"},{"name":"Chala","start":"08:22","end":"09:39","startHours":8.365256504967867,"endHours":9.655080724148476,"quality":"neutral"},{"name":"Labha","start":"09:39","end":"10:57","startHours":9.655080724148476,"endHours":10.944904943329087,"quality":"auspicious"},{"name":"Amṛta","start":"10:57","end":"12:14","startHours":10.944904943329087,"endHours":12.234729162509698,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:31","startHours":12.234729162509698,"endHours":13.524553381690307,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"14:49","startHours":13.524553381690307,"endHours":14.814377600870918,"quality":"auspicious"},{"name":"Roga","start":"14:49","end":"16:06","startHours":14.814377600870918,"endHours":16.10420182005153,"quality":"inauspicious"},{"name":"Udveg","start":"16:06","end":"17:24","startHours":16.10420182005153,"endHours":17.394026039232138,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:24","end":"19:06","startHours":17.394026039232138,"endHours":19.10420182005153,"quality":"auspicious"},{"name":"Roga","start":"19:06","end":"20:49","startHours":19.10420182005153,"endHours":20.814377600870916,"quality":"inauspicious"},{"name":"Udveg","start":"20:49","end":"22:31","startHours":20.814377600870916,"endHours":22.524553381690307,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"00:14","startHours":22.524553381690307,"endHours":24.234729162509698,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:57","startHours":24.234729162509698,"endHours":25.944904943329085,"quality":"auspicious"},{"name":"Amṛta","start":"01:57","end":"03:39","startHours":25.944904943329085,"endHours":27.655080724148476,"quality":"auspicious"},{"name":"Kāla","start":"03:39","end":"05:22","startHours":27.655080724148476,"endHours":29.365256504967867,"quality":"inauspicious"},{"name":"Śubha","start":"05:22","end":"07:05","startHours":29.365256504967867,"endHours":31.075432285787258,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.075432285787256,"endHours":8.075432285787256,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.075432285787256,"endHours":9.075432285787256,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.075432285787256,"endHours":10.075432285787256,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.075432285787256,"endHours":11.075432285787256,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.075432285787256,"endHours":12.075432285787256,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.075432285787256,"endHours":13.075432285787256,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.075432285787256,"endHours":14.075432285787256,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.075432285787256,"endHours":15.075432285787256,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.075432285787256,"endHours":16.075432285787258,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.075432285787258,"endHours":17.075432285787258,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.075432285787258,"endHours":18.075432285787258,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.075432285787258,"endHours":19.075432285787258,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.075432285787258,"endHours":20.075432285787258,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.075432285787258,"endHours":21.075432285787258,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.075432285787258,"endHours":22.075432285787258,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.075432285787258,"endHours":23.075432285787258,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.075432285787258,"endHours":24.075432285787258,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.075432285787258,"endHours":25.075432285787258,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.075432285787258,"endHours":26.075432285787258,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.075432285787258,"endHours":27.075432285787258,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.075432285787258,"endHours":28.075432285787258,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.075432285787258,"endHours":29.075432285787258,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.075432285787258,"endHours":30.075432285787258,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.075432285787258,"endHours":31.075432285787258,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","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":-23.109672130504322,"eotMinutes":5.090650249418121,"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 Dvitīyā · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[],"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":"meerut"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2015 CE · Meerut, Uttar Pradesh · Vidhyamitra","description":"December 13, 2015 CE for Meerut, Uttar Pradesh: Śukla Dvitīyā, sūryodaya 07:05, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/meerut/2015-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/meerut/2015-12-13","sa":"https://sa.vidhyamitra.com/city/meerut/2015-12-13","hi":"https://hi.vidhyamitra.com/city/meerut/2015-12-13","x-default":"https://vidhyamitra.com/city/meerut/2015-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:13:09.468Z","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":"2026-08-10T11:13:09.468Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:13:09.468Z","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"}}}