{"id":"vidhyamitra:city-day:dwarka:2048-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dwarka/2048-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-12-15","date_display":"December 15, 2048 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":2048,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469425.770833,"kali_year":5150,"ahargana":1880960.2708,"sun":{"sidereal_longitude":238.6916,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":358.5128,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.8212,"elapsed_within_tithi_degrees":11.8212},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":358.5128,"elapsed_within_degrees":11.8462},"yoga":{"number":18,"name":"Varīyān","sum_longitude":237.2045},"karana":{"half_tithi_index":19,"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":2048,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469425.770833,"ahargana":1880960.2708,"kali_year":5150,"ayanamsa_lahiri":24.5369,"grahas":{"sun":{"sidereal_longitude":239.19463300000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":1.527132999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":3.8627},"mars":{"sidereal_longitude":306.227133,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":254.927233,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":61.38183300000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":284.71243300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":260.222433,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":237.673,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":57.673,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"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":2048,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469425.770833,"kali_year":5150,"ahargana":1880960.2708,"sun":{"sidereal_longitude":238.6916,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":358.5128,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":119.8212,"elapsed_within_tithi_degrees":11.8212},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":358.5128,"elapsed_within_degrees":11.8462},"yoga":{"number":18,"name":"Varīyān","sum_longitude":237.2045},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.863,"elongation":119.821},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.863,"opposition_distance":60.179}},"eclipse_window_40days":[{"offset_days":5,"type":"lunar","occurs":true,"moon_latitude":-0.379,"opposition_distance":1.575}]},"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":"07:27","sunsetLocal":"18:13","solarNoonLocal":"12:50","dayLengthHours":10.780951827522358,"dayLengthDisplay":"10 Hours 46 Mins 51 Secs","nightLengthDisplay":"13 Hours 13 Mins 09 Secs","moonriseLocal":"14:40","moonsetLocal":"03:18","rahuKala":{"name":"Rāhu Kāla","start":"15:32","end":"16:53","startHours":15.527699039654387,"endHours":16.87531801809468,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:08","end":"11:29","startHours":10.137223125893208,"endHours":11.484842104333502,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:50","end":"14:11","startHours":12.832461082773797,"endHours":14.180080061214092,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:57","end":"10:19","startHours":9.957540595434502,"endHours":10.316905656351913,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:53","end":"08:11","startHours":7.891191495159382,"endHours":8.178683543893312,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:28","end":"13:12","startHours":12.473096021856385,"endHours":13.191826143691209,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:00","end":"06:43","startHours":6.004524925342969,"endHours":6.723255047177793,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:33","end":"07:27","startHours":6.543572516719087,"endHours":7.441985169012617,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:21","startHours":14.629286387360857,"endHours":15.34801650919568,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.022936996534977,"endHours":18.422936996534975,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:40","startHours":18.222936996534976,"endHours":18.67214332268174,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.972936996534976,"endHours":19.722936996534976,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:28","end":"01:12","startHours":24.473096021856385,"endHours":25.19182614369121,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:27","end":"08:47","startHours":7.441985169012617,"endHours":8.789604147452913,"quality":"inauspicious"},{"name":"Udveg","start":"08:47","end":"10:08","startHours":8.789604147452913,"endHours":10.137223125893208,"quality":"inauspicious"},{"name":"Chala","start":"10:08","end":"11:29","startHours":10.137223125893208,"endHours":11.484842104333502,"quality":"neutral"},{"name":"Labha","start":"11:29","end":"12:50","startHours":11.484842104333502,"endHours":12.832461082773797,"quality":"auspicious"},{"name":"Amṛta","start":"12:50","end":"14:11","startHours":12.832461082773797,"endHours":14.180080061214092,"quality":"auspicious"},{"name":"Kāla","start":"14:11","end":"15:32","startHours":14.180080061214092,"endHours":15.527699039654387,"quality":"inauspicious"},{"name":"Śubha","start":"15:32","end":"16:53","startHours":15.527699039654387,"endHours":16.87531801809468,"quality":"auspicious"},{"name":"Roga","start":"16:53","end":"18:13","startHours":16.87531801809468,"endHours":18.222936996534976,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:13","end":"19:53","startHours":18.222936996534976,"endHours":19.87531801809468,"quality":"inauspicious"},{"name":"Śubha","start":"19:53","end":"21:32","startHours":19.87531801809468,"endHours":21.527699039654387,"quality":"auspicious"},{"name":"Roga","start":"21:32","end":"23:11","startHours":21.527699039654387,"endHours":23.180080061214092,"quality":"inauspicious"},{"name":"Udveg","start":"23:11","end":"00:50","startHours":23.180080061214092,"endHours":24.832461082773797,"quality":"inauspicious"},{"name":"Chala","start":"00:50","end":"02:29","startHours":24.832461082773797,"endHours":26.484842104333502,"quality":"neutral"},{"name":"Labha","start":"02:29","end":"04:08","startHours":26.484842104333502,"endHours":28.137223125893208,"quality":"auspicious"},{"name":"Amṛta","start":"04:08","end":"05:47","startHours":28.137223125893208,"endHours":29.789604147452913,"quality":"auspicious"},{"name":"Kāla","start":"05:47","end":"07:27","startHours":29.789604147452913,"endHours":31.441985169012618,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:27","end":"08:27","startHours":7.441985169012617,"endHours":8.441985169012618,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:27","end":"09:27","startHours":8.441985169012618,"endHours":9.441985169012618,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:27","end":"10:27","startHours":9.441985169012618,"endHours":10.441985169012618,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:27","end":"11:27","startHours":10.441985169012618,"endHours":11.441985169012618,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:27","end":"12:27","startHours":11.441985169012618,"endHours":12.441985169012618,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:27","end":"13:27","startHours":12.441985169012618,"endHours":13.441985169012618,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:27","end":"14:27","startHours":13.441985169012618,"endHours":14.441985169012618,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:27","end":"15:27","startHours":14.441985169012618,"endHours":15.441985169012618,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:27","end":"16:27","startHours":15.441985169012618,"endHours":16.441985169012618,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:27","end":"17:27","startHours":16.441985169012618,"endHours":17.441985169012618,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:27","end":"18:27","startHours":17.441985169012618,"endHours":18.441985169012618,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:27","end":"19:27","startHours":18.441985169012618,"endHours":19.441985169012618,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:27","end":"20:27","startHours":19.441985169012618,"endHours":20.441985169012618,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:27","end":"21:27","startHours":20.441985169012618,"endHours":21.441985169012618,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:27","end":"22:27","startHours":21.441985169012618,"endHours":22.441985169012618,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:27","end":"23:27","startHours":22.441985169012618,"endHours":23.441985169012618,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:27","end":"00:27","startHours":23.441985169012618,"endHours":24.441985169012618,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:27","end":"01:27","startHours":24.441985169012618,"endHours":25.441985169012618,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:27","end":"02:27","startHours":25.441985169012618,"endHours":26.441985169012618,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:27","end":"03:27","startHours":26.441985169012618,"endHours":27.441985169012618,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:27","end":"04:27","startHours":27.441985169012618,"endHours":28.441985169012618,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:27","end":"05:27","startHours":28.441985169012618,"endHours":29.441985169012618,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:27","end":"06:27","startHours":29.441985169012618,"endHours":30.441985169012618,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:27","end":"07:27","startHours":30.441985169012618,"endHours":31.441985169012618,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhvaja","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":-23.28808498902711,"eotMinutes":4.177935033572184,"ayanamsa":24.5369}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"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 2105 Vṛṣa · Śaka 1970 Vibhava"},"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":"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 15, 2048 CE · Dvārakā · Vidhyamitra","description":"December 15, 2048 CE for Dvārakā: Śukla Daśamī, sūryodaya 07:27, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dwarka/2048-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dwarka/2048-12-15","sa":"https://sa.vidhyamitra.com/city/dwarka/2048-12-15","hi":"https://hi.vidhyamitra.com/city/dwarka/2048-12-15","x-default":"https://vidhyamitra.com/city/dwarka/2048-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T09:37:33.883Z","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":"2026-09-22T09:37:33.883Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T09:37:33.883Z","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"}}}