{"id":"vidhyamitra:city-day:pushkar:2040-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2040-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-31","date_display":"December 31, 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":"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":2040,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466519.770833,"kali_year":5142,"ahargana":1878054.2708,"sun":{"sidereal_longitude":255.2004,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":218.6413,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.4409,"elapsed_within_tithi_degrees":11.4409},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.6413,"elapsed_within_degrees":5.3079},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.8417},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466519.770833,"ahargana":1878054.2708,"kali_year":5142,"ayanamsa_lahiri":24.4257,"grahas":{"sun":{"sidereal_longitude":255.54056400000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":217.98876399999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":-0.5474},"mars":{"sidereal_longitude":251.39236400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":264.617264,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":183.78286400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":302.0549639999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":178.314664,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":31.6469,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":211.6469,"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":"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":2040,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466519.770833,"kali_year":5142,"ahargana":1878054.2708,"sun":{"sidereal_longitude":255.2004,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":218.6413,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.4409,"elapsed_within_tithi_degrees":11.4409},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.6413,"elapsed_within_degrees":5.3079},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.8417},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.547,"elongation":36.559},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.547,"opposition_distance":143.441}},"eclipse_window_40days":[]},"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"sunriseLocal":"07:20","sunsetLocal":"17:50","solarNoonLocal":"12:35","dayLengthHours":10.504383446092083,"dayLengthDisplay":"10 Hours 30 Mins 16 Secs","nightLengthDisplay":"13 Hours 29 Mins 44 Secs","moonriseLocal":"04:45","moonsetLocal":"15:24","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"09:57","startHours":8.64512678977889,"endHours":9.958174720540402,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:16","end":"12:35","startHours":11.271222651301912,"endHours":12.584270582063422,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:13","startHours":13.897318512824933,"endHours":15.210366443586443,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:47","end":"10:08","startHours":9.783101663105533,"endHours":10.13324777797527,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:46","end":"08:03","startHours":7.769761502604551,"endHours":8.04987839450034,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"12:56","startHours":12.234124467193686,"endHours":12.934416696933157,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:56","end":"06:38","startHours":5.931494399538437,"endHours":6.631786629277909,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:27","end":"07:20","startHours":6.456713571843041,"endHours":7.332078859017381,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:02","startHours":14.335001156412103,"endHours":15.035293386151576,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.636462305109465,"endHours":18.036462305109463,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:16","startHours":17.836462305109464,"endHours":18.274144948696634,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.586462305109464,"endHours":19.336462305109464,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"00:56","startHours":24.234124467193684,"endHours":24.93441669693316,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:20","end":"08:39","startHours":7.332078859017381,"endHours":8.64512678977889,"quality":"auspicious"},{"name":"Kāla","start":"08:39","end":"09:57","startHours":8.64512678977889,"endHours":9.958174720540402,"quality":"inauspicious"},{"name":"Śubha","start":"09:57","end":"11:16","startHours":9.958174720540402,"endHours":11.271222651301912,"quality":"auspicious"},{"name":"Roga","start":"11:16","end":"12:35","startHours":11.271222651301912,"endHours":12.584270582063422,"quality":"inauspicious"},{"name":"Udveg","start":"12:35","end":"13:54","startHours":12.584270582063422,"endHours":13.897318512824933,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:13","startHours":13.897318512824933,"endHours":15.210366443586443,"quality":"neutral"},{"name":"Labha","start":"15:13","end":"16:31","startHours":15.210366443586443,"endHours":16.523414374347954,"quality":"auspicious"},{"name":"Amṛta","start":"16:31","end":"17:50","startHours":16.523414374347954,"endHours":17.836462305109464,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:50","end":"19:31","startHours":17.836462305109464,"endHours":19.523414374347954,"quality":"neutral"},{"name":"Labha","start":"19:31","end":"21:13","startHours":19.523414374347954,"endHours":21.210366443586445,"quality":"auspicious"},{"name":"Amṛta","start":"21:13","end":"22:54","startHours":21.210366443586445,"endHours":22.89731851282493,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:35","startHours":22.89731851282493,"endHours":24.58427058206342,"quality":"inauspicious"},{"name":"Śubha","start":"00:35","end":"02:16","startHours":24.58427058206342,"endHours":26.271222651301912,"quality":"auspicious"},{"name":"Roga","start":"02:16","end":"03:57","startHours":26.271222651301912,"endHours":27.958174720540402,"quality":"inauspicious"},{"name":"Udveg","start":"03:57","end":"05:39","startHours":27.958174720540402,"endHours":29.645126789778892,"quality":"inauspicious"},{"name":"Chala","start":"05:39","end":"07:20","startHours":29.645126789778892,"endHours":31.33207885901738,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:20","end":"08:20","startHours":7.332078859017381,"endHours":8.33207885901738,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:20","end":"09:20","startHours":8.33207885901738,"endHours":9.33207885901738,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:20","end":"10:20","startHours":9.33207885901738,"endHours":10.33207885901738,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:20","end":"11:20","startHours":10.33207885901738,"endHours":11.33207885901738,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:20","end":"12:20","startHours":11.33207885901738,"endHours":12.33207885901738,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:20","end":"13:20","startHours":12.33207885901738,"endHours":13.33207885901738,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:20","end":"14:20","startHours":13.33207885901738,"endHours":14.33207885901738,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:20","end":"15:20","startHours":14.33207885901738,"endHours":15.33207885901738,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:20","end":"16:20","startHours":15.33207885901738,"endHours":16.33207885901738,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:20","end":"17:20","startHours":16.33207885901738,"endHours":17.33207885901738,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:20","end":"18:20","startHours":17.33207885901738,"endHours":18.33207885901738,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:20","end":"19:20","startHours":18.33207885901738,"endHours":19.33207885901738,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:20","end":"20:20","startHours":19.33207885901738,"endHours":20.33207885901738,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:20","end":"21:20","startHours":20.33207885901738,"endHours":21.33207885901738,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:20","end":"22:20","startHours":21.33207885901738,"endHours":22.33207885901738,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:20","end":"23:20","startHours":22.33207885901738,"endHours":23.33207885901738,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:20","end":"00:20","startHours":23.33207885901738,"endHours":24.33207885901738,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:20","end":"01:20","startHours":24.33207885901738,"endHours":25.33207885901738,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:20","end":"02:20","startHours":25.33207885901738,"endHours":26.33207885901738,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:20","end":"03:20","startHours":26.33207885901738,"endHours":27.33207885901738,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:20","end":"04:20","startHours":27.33207885901738,"endHours":28.33207885901738,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:20","end":"05:20","startHours":28.33207885901738,"endHours":29.33207885901738,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:20","end":"06:20","startHours":29.33207885901738,"endHours":30.33207885901738,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:20","end":"07:20","startHours":30.33207885901738,"endHours":31.33207885901738,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.062225919374242,"eotMinutes":-3.2562349238053434,"ayanamsa":24.4257}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Dvādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"pushkar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 31, 2040 CE · Puṣkar · Vidhyamitra","description":"December 31, 2040 CE for Puṣkar: Kṛṣṇa Dvādaśī, sūryodaya 07:20, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2040-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2040-12-31","sa":"https://sa.vidhyamitra.com/city/pushkar/2040-12-31","hi":"https://hi.vidhyamitra.com/city/pushkar/2040-12-31","x-default":"https://vidhyamitra.com/city/pushkar/2040-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:27:09.269Z","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":"2026-05-15T16:27:09.269Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:27:09.269Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}