{"id":"vidhyamitra:city-day:shimla:2040-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/shimla/2040-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-03","date_display":"December 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466491.770833,"kali_year":5142,"ahargana":1878026.2708,"sun":{"sidereal_longitude":226.4741,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":208.9783,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.5042,"elapsed_within_tithi_degrees":6.5042},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.9783,"elapsed_within_degrees":8.9783},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.4525},"karana":{"half_tithi_index":57,"name":"Śakuni"},"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":2040,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466491.770833,"ahargana":1878026.2708,"kali_year":5142,"ayanamsa_lahiri":24.4247,"grahas":{"sun":{"sidereal_longitude":227.05733399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":210.27993400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":0.3255},"mars":{"sidereal_longitude":230.49493400000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":220.09133399999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":179.42233399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":270.975734,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":176.20863400000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":33.1305,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":213.1305,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466491.770833,"kali_year":5142,"ahargana":1878026.2708,"sun":{"sidereal_longitude":226.4741,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":208.9783,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.5042,"elapsed_within_tithi_degrees":6.5042},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.9783,"elapsed_within_degrees":8.9783},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.4525},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.325,"elongation":17.496},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.325,"opposition_distance":162.504}},"eclipse_window_40days":[]},"city":{"slug":"shimla","name":"Shimla, Himachal Pradesh","lat":31.1048,"lon":77.1734,"tz_offset_hours":5.5,"state":"Himachal Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"shimla","name":"Shimla, Himachal Pradesh","lat":31.1048,"lon":77.1734,"tz_offset_hours":5.5,"state":"Himachal Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:05","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.247791472074214,"dayLengthDisplay":"10 Hours 14 Mins 52 Secs","nightLengthDisplay":"13 Hours 45 Mins 08 Secs","moonriseLocal":"05:50","moonsetLocal":"16:20","rahuKala":{"name":"Rāhu Kāla","start":"08:21","end":"09:38","startHours":8.356204415794537,"endHours":9.637178349803813,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:55","end":"12:12","startHours":10.91815228381309,"endHours":12.199126217822368,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:46","startHours":13.480100151831643,"endHours":14.76107408584092,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.466381825269243,"endHours":9.807974874338385,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.502221793121685,"endHours":7.775496232376998,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.857533168753227,"endHours":12.540719266891509,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.708858285508699,"endHours":6.392044383646979,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.221247859112409,"endHours":7.07523048178526,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.907091463168069,"endHours":14.59027756130635,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.123021953859475,"endHours":17.523021953859473,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.323021953859474,"endHours":17.7500132651959,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.073021953859474,"endHours":18.823021953859474,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.85753316875323,"endHours":24.540719266891507,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:05","end":"08:21","startHours":7.07523048178526,"endHours":8.356204415794537,"quality":"auspicious"},{"name":"Kāla","start":"08:21","end":"09:38","startHours":8.356204415794537,"endHours":9.637178349803813,"quality":"inauspicious"},{"name":"Śubha","start":"09:38","end":"10:55","startHours":9.637178349803813,"endHours":10.91815228381309,"quality":"auspicious"},{"name":"Roga","start":"10:55","end":"12:12","startHours":10.91815228381309,"endHours":12.199126217822368,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"13:29","startHours":12.199126217822368,"endHours":13.480100151831643,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:46","startHours":13.480100151831643,"endHours":14.76107408584092,"quality":"neutral"},{"name":"Labha","start":"14:46","end":"16:03","startHours":14.76107408584092,"endHours":16.0420480198502,"quality":"auspicious"},{"name":"Amṛta","start":"16:03","end":"17:19","startHours":16.0420480198502,"endHours":17.323021953859474,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:19","end":"19:03","startHours":17.323021953859474,"endHours":19.042048019850196,"quality":"neutral"},{"name":"Labha","start":"19:03","end":"20:46","startHours":19.042048019850196,"endHours":20.76107408584092,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:29","startHours":20.76107408584092,"endHours":22.480100151831643,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:12","startHours":22.480100151831643,"endHours":24.199126217822368,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:55","startHours":24.199126217822368,"endHours":25.91815228381309,"quality":"auspicious"},{"name":"Roga","start":"01:55","end":"03:38","startHours":25.91815228381309,"endHours":27.63717834980381,"quality":"inauspicious"},{"name":"Udveg","start":"03:38","end":"05:21","startHours":27.63717834980381,"endHours":29.356204415794537,"quality":"inauspicious"},{"name":"Chala","start":"05:21","end":"07:05","startHours":29.356204415794537,"endHours":31.075230481785262,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.07523048178526,"endHours":8.07523048178526,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.07523048178526,"endHours":9.07523048178526,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.07523048178526,"endHours":10.07523048178526,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.07523048178526,"endHours":11.07523048178526,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.07523048178526,"endHours":12.07523048178526,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.07523048178526,"endHours":13.07523048178526,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.07523048178526,"endHours":14.07523048178526,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.07523048178526,"endHours":15.07523048178526,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.07523048178526,"endHours":16.075230481785262,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.075230481785262,"endHours":17.075230481785262,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.075230481785262,"endHours":18.075230481785262,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.075230481785262,"endHours":19.075230481785262,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.075230481785262,"endHours":20.075230481785262,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.075230481785262,"endHours":21.075230481785262,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.075230481785262,"endHours":22.075230481785262,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.075230481785262,"endHours":23.075230481785262,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.075230481785262,"endHours":24.075230481785262,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.075230481785262,"endHours":25.075230481785262,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.075230481785262,"endHours":26.075230481785262,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.075230481785262,"endHours":27.075230481785262,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.075230481785262,"endHours":28.075230481785262,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.075230481785262,"endHours":29.075230481785262,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.075230481785262,"endHours":30.075230481785262,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.075230481785262,"endHours":31.075230481785262,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva 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":"East (Pūrva)","chandraVasa":"North-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":-22.15660949348299,"eotMinutes":9.35882693065794,"ayanamsa":24.4247}},"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 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 Caturdaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Māsika Śivarātri is not live yet; Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"shimla"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 3, 2040 CE · Shimla, Himachal Pradesh · Vidhyamitra","description":"December 3, 2040 CE for Shimla, Himachal Pradesh: Kṛṣṇa Caturdaśī, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/shimla/2040-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/shimla/2040-12-03","sa":"https://sa.vidhyamitra.com/city/shimla/2040-12-03","hi":"https://hi.vidhyamitra.com/city/shimla/2040-12-03","x-default":"https://vidhyamitra.com/city/shimla/2040-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:51:16.111Z","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":"2026-08-10T12:51:16.111Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:51:16.111Z","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"}}}