{"id":"vidhyamitra:city-day:dwarka:2040-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/2040-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-13","date_display":"December 13, 2040 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":2040,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466501.770833,"kali_year":5142,"ahargana":1878036.2708,"sun":{"sidereal_longitude":236.7122,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":350.9805,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":114.2683,"elapsed_within_tithi_degrees":6.2683},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.9805,"elapsed_within_degrees":4.3138},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.6927},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2040,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466501.770833,"ahargana":1878036.2708,"kali_year":5142,"ayanamsa_lahiri":24.425,"grahas":{"sun":{"sidereal_longitude":237.21275200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":353.177352,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-2.9871},"mars":{"sidereal_longitude":237.884952,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":235.83755199999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":181.13785200000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":282.37835199999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":177.07805200000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":32.6006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.6006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":"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":2040,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466501.770833,"kali_year":5142,"ahargana":1878036.2708,"sun":{"sidereal_longitude":236.7122,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":350.9805,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":114.2683,"elapsed_within_tithi_degrees":6.2683},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.9805,"elapsed_within_degrees":4.3138},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.6927},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.987,"elongation":114.268},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.987,"opposition_distance":65.732}},"eclipse_window_40days":[]},"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"dwarka","name":"Dvārakā","lat":22.2393,"lon":68.9686,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tirtha"},"sunriseLocal":"07:25","sunsetLocal":"18:13","solarNoonLocal":"12:49","dayLengthHours":10.788382459516864,"dayLengthDisplay":"10 Hours 47 Mins 18 Secs","nightLengthDisplay":"13 Hours 12 Mins 42 Secs","moonriseLocal":"14:19","moonsetLocal":"02:47","rahuKala":{"name":"Rāhu Kāla","start":"14:10","end":"15:31","startHours":14.165796969949307,"endHours":15.514344777388914,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:25","end":"08:46","startHours":7.4230579327512665,"endHours":8.771605740190875,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:07","end":"11:28","startHours":10.120153547630483,"endHours":11.46870135507009,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:18","startHours":9.940347173305202,"endHours":10.299959921955764,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:52","end":"08:10","startHours":7.872573868564469,"endHours":8.160264067484919,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:27","end":"13:11","startHours":12.457636413859136,"endHours":13.17686191116026,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:59","end":"06:42","startHours":5.9846069381490175,"endHours":6.703832435450142,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:31","end":"07:25","startHours":6.524026061124861,"endHours":7.4230579327512665,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:20","startHours":14.61531290576251,"endHours":15.334538403063634,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.01144039226813,"endHours":18.41144039226813,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:40","startHours":18.21144039226813,"endHours":18.660956328081333,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.96144039226813,"endHours":19.71144039226813,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:27","end":"01:11","startHours":24.457636413859134,"endHours":25.17686191116026,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:25","end":"08:46","startHours":7.4230579327512665,"endHours":8.771605740190875,"quality":"auspicious"},{"name":"Roga","start":"08:46","end":"10:07","startHours":8.771605740190875,"endHours":10.120153547630483,"quality":"inauspicious"},{"name":"Udveg","start":"10:07","end":"11:28","startHours":10.120153547630483,"endHours":11.46870135507009,"quality":"inauspicious"},{"name":"Chala","start":"11:28","end":"12:49","startHours":11.46870135507009,"endHours":12.817249162509698,"quality":"neutral"},{"name":"Labha","start":"12:49","end":"14:10","startHours":12.817249162509698,"endHours":14.165796969949307,"quality":"auspicious"},{"name":"Amṛta","start":"14:10","end":"15:31","startHours":14.165796969949307,"endHours":15.514344777388914,"quality":"auspicious"},{"name":"Kāla","start":"15:31","end":"16:52","startHours":15.514344777388914,"endHours":16.862892584828522,"quality":"inauspicious"},{"name":"Śubha","start":"16:52","end":"18:13","startHours":16.862892584828522,"endHours":18.21144039226813,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:13","end":"19:52","startHours":18.21144039226813,"endHours":19.862892584828522,"quality":"auspicious"},{"name":"Kāla","start":"19:52","end":"21:31","startHours":19.862892584828522,"endHours":21.514344777388914,"quality":"inauspicious"},{"name":"Śubha","start":"21:31","end":"23:10","startHours":21.514344777388914,"endHours":23.165796969949305,"quality":"auspicious"},{"name":"Roga","start":"23:10","end":"00:49","startHours":23.165796969949305,"endHours":24.817249162509697,"quality":"inauspicious"},{"name":"Udveg","start":"00:49","end":"02:28","startHours":24.817249162509697,"endHours":26.46870135507009,"quality":"inauspicious"},{"name":"Chala","start":"02:28","end":"04:07","startHours":26.46870135507009,"endHours":28.120153547630483,"quality":"neutral"},{"name":"Labha","start":"04:07","end":"05:46","startHours":28.120153547630483,"endHours":29.771605740190875,"quality":"auspicious"},{"name":"Amṛta","start":"05:46","end":"07:25","startHours":29.771605740190875,"endHours":31.423057932751266,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:25","end":"08:25","startHours":7.4230579327512665,"endHours":8.423057932751266,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:25","end":"09:25","startHours":8.423057932751266,"endHours":9.423057932751266,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:25","end":"10:25","startHours":9.423057932751266,"endHours":10.423057932751266,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:25","end":"11:25","startHours":10.423057932751266,"endHours":11.423057932751266,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:25","end":"12:25","startHours":11.423057932751266,"endHours":12.423057932751266,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:25","end":"13:25","startHours":12.423057932751266,"endHours":13.423057932751266,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:25","end":"14:25","startHours":13.423057932751266,"endHours":14.423057932751266,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:25","end":"15:25","startHours":14.423057932751266,"endHours":15.423057932751266,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:25","end":"16:25","startHours":15.423057932751266,"endHours":16.423057932751266,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:25","end":"17:25","startHours":16.423057932751266,"endHours":17.423057932751266,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:25","end":"18:25","startHours":17.423057932751266,"endHours":18.423057932751266,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:25","end":"19:25","startHours":18.423057932751266,"endHours":19.423057932751266,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:25","end":"20:25","startHours":19.423057932751266,"endHours":20.423057932751266,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:25","end":"21:25","startHours":20.423057932751266,"endHours":21.423057932751266,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:25","end":"22:25","startHours":21.423057932751266,"endHours":22.423057932751266,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:25","end":"23:25","startHours":22.423057932751266,"endHours":23.423057932751266,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:25","end":"00:25","startHours":23.423057932751266,"endHours":24.423057932751266,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:25","end":"01:25","startHours":24.423057932751266,"endHours":25.423057932751266,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:25","end":"02:25","startHours":25.423057932751266,"endHours":26.423057932751266,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:25","end":"03:25","startHours":26.423057932751266,"endHours":27.423057932751266,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:25","end":"04:25","startHours":27.423057932751266,"endHours":28.423057932751266,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:25","end":"05:25","startHours":28.423057932751266,"endHours":29.423057932751266,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:25","end":"06:25","startHours":29.423057932751266,"endHours":30.423057932751266,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:25","end":"07:25","startHours":30.423057932751266,"endHours":31.423057932751266,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","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":-23.172699847158622,"eotMinutes":5.090650249418121,"ayanamsa":24.425}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"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 Daśamī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"dwarka"},"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, 2040 CE · Dvārakā · Vidhyamitra","description":"December 13, 2040 CE for Dvārakā: Śukla Daśamī, sūryodaya 07:25, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/2040-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/2040-12-13","sa":"https://sa.vidhyamitra.com/city/dwarka/2040-12-13","hi":"https://hi.vidhyamitra.com/city/dwarka/2040-12-13","x-default":"https://vidhyamitra.com/city/dwarka/2040-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T06:30:13.981Z","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":"2026-09-11T06:30:13.981Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T06:30:13.981Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}