{"id":"vidhyamitra:city-day:indore:2115-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/indore/2115-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-12-15","date_display":"December 15, 2115 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":2115,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493895.770833,"kali_year":5217,"ahargana":1905430.2708,"sun":{"sidereal_longitude":236.2951,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":224.8521,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.5569,"elapsed_within_tithi_degrees":0.5569},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.8521,"elapsed_within_degrees":11.5187},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.1472},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2115,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493895.770833,"ahargana":1905430.2708,"kali_year":5217,"ayanamsa_lahiri":25.4728,"grahas":{"sun":{"sidereal_longitude":236.9765,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":224.5471,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-1.8085},"mars":{"sidereal_longitude":209.19870000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":253.60739999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":275.5636999999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":272.3559,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":351.52660000000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":21.1347,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":201.1347,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":"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":2115,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493895.770833,"kali_year":5217,"ahargana":1905430.2708,"sun":{"sidereal_longitude":236.2951,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":224.8521,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.5569,"elapsed_within_tithi_degrees":0.5569},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.8521,"elapsed_within_degrees":11.5187},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.1472},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.808,"elongation":11.443},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.808,"opposition_distance":168.557}},"eclipse_window_40days":[]},"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"indore","name":"Indore, Madhya Pradesh","lat":22.7196,"lon":75.8577,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:00","sunsetLocal":"17:45","solarNoonLocal":"12:22","dayLengthHours":10.753110562790177,"dayLengthDisplay":"10 Hours 45 Mins 11 Secs","nightLengthDisplay":"13 Hours 14 Mins 49 Secs","moonriseLocal":"06:09","moonsetLocal":"16:57","rahuKala":{"name":"Rāhu Kāla","start":"16:24","end":"17:45","startHours":16.405604210486782,"endHours":17.749743030835553,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:22","end":"13:43","startHours":12.373187749440465,"endHours":13.717326569789236,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:04","end":"16:24","startHours":15.06146539013801,"endHours":16.405604210486782,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.505691599363084,"endHours":9.864128618122757,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.444678741494967,"endHours":7.731428356502706,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:44","startHours":12.014750730680792,"endHours":12.731624768200138,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:17","startHours":5.562884393006686,"endHours":6.279758430526032,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"07:00","startHours":6.100539921146195,"endHours":6.996632468045377,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:53","startHours":14.165372843238828,"endHours":14.882246880758172,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.549743030835554,"endHours":17.949743030835553,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:12","startHours":17.749743030835553,"endHours":18.197789304285145,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.499743030835553,"endHours":19.249743030835553,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:44","startHours":24.01475073068079,"endHours":24.731624768200138,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:00","end":"08:20","startHours":6.996632468045377,"endHours":8.340771288394148,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:41","startHours":8.340771288394148,"endHours":9.68491010874292,"quality":"neutral"},{"name":"Labha","start":"09:41","end":"11:02","startHours":9.68491010874292,"endHours":11.029048929091694,"quality":"auspicious"},{"name":"Amṛta","start":"11:02","end":"12:22","startHours":11.029048929091694,"endHours":12.373187749440465,"quality":"auspicious"},{"name":"Kāla","start":"12:22","end":"13:43","startHours":12.373187749440465,"endHours":13.717326569789236,"quality":"inauspicious"},{"name":"Śubha","start":"13:43","end":"15:04","startHours":13.717326569789236,"endHours":15.06146539013801,"quality":"auspicious"},{"name":"Roga","start":"15:04","end":"16:24","startHours":15.06146539013801,"endHours":16.405604210486782,"quality":"inauspicious"},{"name":"Udveg","start":"16:24","end":"17:45","startHours":16.405604210486782,"endHours":17.749743030835553,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:45","end":"19:24","startHours":17.749743030835553,"endHours":19.405604210486782,"quality":"auspicious"},{"name":"Roga","start":"19:24","end":"21:04","startHours":19.405604210486782,"endHours":21.06146539013801,"quality":"inauspicious"},{"name":"Udveg","start":"21:04","end":"22:43","startHours":21.06146539013801,"endHours":22.717326569789236,"quality":"inauspicious"},{"name":"Chala","start":"22:43","end":"00:22","startHours":22.717326569789236,"endHours":24.373187749440465,"quality":"neutral"},{"name":"Labha","start":"00:22","end":"02:02","startHours":24.373187749440465,"endHours":26.029048929091694,"quality":"auspicious"},{"name":"Amṛta","start":"02:02","end":"03:41","startHours":26.029048929091694,"endHours":27.68491010874292,"quality":"auspicious"},{"name":"Kāla","start":"03:41","end":"05:20","startHours":27.68491010874292,"endHours":29.340771288394148,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:00","startHours":29.340771288394148,"endHours":30.996632468045377,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":6.996632468045377,"endHours":7.996632468045377,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":7.996632468045377,"endHours":8.996632468045377,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":8.996632468045377,"endHours":9.996632468045377,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":9.996632468045377,"endHours":10.996632468045377,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":10.996632468045377,"endHours":11.996632468045377,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":11.996632468045377,"endHours":12.996632468045377,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":12.996632468045377,"endHours":13.996632468045377,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":13.996632468045377,"endHours":14.996632468045377,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":14.996632468045377,"endHours":15.996632468045377,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":15.996632468045377,"endHours":16.996632468045377,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":16.996632468045377,"endHours":17.996632468045377,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":17.996632468045377,"endHours":18.996632468045377,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":18.996632468045377,"endHours":19.996632468045377,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":19.996632468045377,"endHours":20.996632468045377,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":20.996632468045377,"endHours":21.996632468045377,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":21.996632468045377,"endHours":22.996632468045377,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":22.996632468045377,"endHours":23.996632468045377,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":23.996632468045377,"endHours":24.996632468045377,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":24.996632468045377,"endHours":25.996632468045377,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":25.996632468045377,"endHours":26.996632468045377,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":26.996632468045377,"endHours":27.996632468045377,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":27.996632468045377,"endHours":28.996632468045377,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":28.996632468045377,"endHours":29.996632468045377,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":29.996632468045377,"endHours":30.996632468045377,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","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":-23.221308516674547,"eotMinutes":4.177935033572184,"ayanamsa":25.4728}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Amāvasyā · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"indore"},"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, 2115 CE · Indore, Madhya Pradesh · Vidhyamitra","description":"December 15, 2115 CE for Indore, Madhya Pradesh: Kṛṣṇa Amāvasyā, sūryodaya 07:00, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/indore/2115-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/indore/2115-12-15","sa":"https://sa.vidhyamitra.com/city/indore/2115-12-15","hi":"https://hi.vidhyamitra.com/city/indore/2115-12-15","x-default":"https://vidhyamitra.com/city/indore/2115-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:34:53.632Z","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":"2026-06-01T14:34:53.632Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:34:53.632Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}