{"id":"vidhyamitra:city-day:mathura:1846-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1846-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1846-07-20","date_display":"July 20, 1846 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":1846,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395497.770833,"kali_year":4948,"ahargana":1807032.2708,"sun":{"sidereal_longitude":95.068,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":57.2125,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":322.1445,"elapsed_within_tithi_degrees":10.1445},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.2125,"elapsed_within_degrees":3.8792},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.2806},"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":1846,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395497.770833,"ahargana":1807032.2708,"kali_year":4948,"ayanamsa_lahiri":21.7094,"grahas":{"sun":{"sidereal_longitude":95.17382700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":58.325526999999965,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":-3.0372},"mars":{"sidereal_longitude":114.42792700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":122.764727,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":48.622326999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":60.805627000000015,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":309.99762699999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":194.7342,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":14.7342,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"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":1846,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395497.770833,"kali_year":4948,"ahargana":1807032.2708,"sun":{"sidereal_longitude":95.068,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":57.2125,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":322.1445,"elapsed_within_tithi_degrees":10.1445},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.2125,"elapsed_within_degrees":3.8792},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.2806},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.037,"elongation":37.855},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.037,"opposition_distance":142.145}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:36","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.6552633479725,"dayLengthDisplay":"13 Hours 39 Mins 19 Secs","nightLengthDisplay":"10 Hours 20 Mins 41 Secs","moonriseLocal":"03:04","moonsetLocal":"16:52","rahuKala":{"name":"Rāhu Kāla","start":"07:18","end":"09:00","startHours":7.3009332647629375,"endHours":9.007841183259501,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:43","end":"12:25","startHours":10.714749101756063,"endHours":12.421657020252624,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:50","startHours":14.128564938749186,"endHours":15.835472857245751,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.780253460793292,"endHours":9.235428905725708,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.1629946524318955,"endHours":6.527135008377829,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.966481575320207,"endHours":12.876832465185041,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:41","startHours":3.773323566536708,"endHours":4.683674456401541,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:36","startHours":4.456086733935333,"endHours":5.594025346266375,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.69753424491471,"endHours":15.607885134779544,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.049288694238875,"endHours":19.449288694238874,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.249288694238874,"endHours":19.818258000404395,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.999288694238874,"endHours":20.749288694238874,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96648157532021,"endHours":24.87683246518504,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:36","end":"07:18","startHours":5.594025346266375,"endHours":7.3009332647629375,"quality":"auspicious"},{"name":"Kāla","start":"07:18","end":"09:00","startHours":7.3009332647629375,"endHours":9.007841183259501,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:43","startHours":9.007841183259501,"endHours":10.714749101756063,"quality":"auspicious"},{"name":"Roga","start":"10:43","end":"12:25","startHours":10.714749101756063,"endHours":12.421657020252624,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.128564938749186,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:50","startHours":14.128564938749186,"endHours":15.835472857245751,"quality":"neutral"},{"name":"Labha","start":"15:50","end":"17:33","startHours":15.835472857245751,"endHours":17.542380775742313,"quality":"auspicious"},{"name":"Amṛta","start":"17:33","end":"19:15","startHours":17.542380775742313,"endHours":19.249288694238874,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:15","end":"20:33","startHours":19.249288694238874,"endHours":20.542380775742313,"quality":"neutral"},{"name":"Labha","start":"20:33","end":"21:50","startHours":20.542380775742313,"endHours":21.835472857245747,"quality":"auspicious"},{"name":"Amṛta","start":"21:50","end":"23:08","startHours":21.835472857245747,"endHours":23.128564938749186,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.128564938749186,"endHours":24.421657020252624,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:43","startHours":24.421657020252624,"endHours":25.714749101756063,"quality":"auspicious"},{"name":"Roga","start":"01:43","end":"03:00","startHours":25.714749101756063,"endHours":27.0078411832595,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:18","startHours":27.0078411832595,"endHours":28.300933264762936,"quality":"inauspicious"},{"name":"Chala","start":"04:18","end":"05:36","startHours":28.300933264762936,"endHours":29.594025346266374,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.594025346266375,"endHours":6.594025346266375,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.594025346266375,"endHours":7.594025346266375,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.594025346266375,"endHours":8.594025346266374,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.594025346266374,"endHours":9.594025346266374,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.594025346266374,"endHours":10.594025346266374,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.594025346266374,"endHours":11.594025346266374,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.594025346266374,"endHours":12.594025346266374,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.594025346266374,"endHours":13.594025346266374,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.594025346266374,"endHours":14.594025346266374,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.594025346266374,"endHours":15.594025346266374,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.594025346266374,"endHours":16.594025346266374,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.594025346266374,"endHours":17.594025346266374,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.594025346266374,"endHours":18.594025346266374,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.594025346266374,"endHours":19.594025346266374,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.594025346266374,"endHours":20.594025346266374,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.594025346266374,"endHours":21.594025346266374,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.594025346266374,"endHours":22.594025346266374,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.594025346266374,"endHours":23.594025346266374,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.594025346266374,"endHours":24.594025346266374,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.594025346266374,"endHours":25.594025346266374,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.594025346266374,"endHours":26.594025346266374,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.594025346266374,"endHours":27.594025346266374,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.594025346266374,"endHours":28.594025346266374,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.594025346266374,"endHours":29.594025346266374,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.77809197528306,"eotMinutes":-5.99422121515736,"ayanamsa":21.7094}},"calendars":{"vikram_samvat":1903,"vikram_samvatsara":"Siddhārthī","saka_samvat":1768,"saka_samvatsara":"Parābhava","bengali_samvat":1253,"malayalam_era":1022,"nanakshahi_year":377,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvādaśī · Vikram 1903 Siddhārthī · Śaka 1768 Parābhava"},"festivals":[],"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":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 20, 1846 CE · Mathurā · Vidhyamitra","description":"July 20, 1846 CE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:36, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1846-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1846-07-20","sa":"https://sa.vidhyamitra.com/city/mathura/1846-07-20","hi":"https://hi.vidhyamitra.com/city/mathura/1846-07-20","x-default":"https://vidhyamitra.com/city/mathura/1846-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:26:31.133Z","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":"2026-08-10T12:26:31.133Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:26:31.133Z","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"}}}