{"id":"vidhyamitra:city-day:mathura:2154-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2154-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2154-08-13","date_display":"August 13, 2154 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":2154,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508016.770833,"kali_year":5256,"ahargana":1919551.2708,"sun":{"sidereal_longitude":113.4211,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.693,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2719,"elapsed_within_tithi_degrees":9.2719},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.693,"elapsed_within_degrees":12.0263},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.114},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2154,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2508016.770833,"ahargana":1919551.2708,"kali_year":5256,"ayanamsa_lahiri":26.0128,"grahas":{"sun":{"sidereal_longitude":114.38617399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":158.94717400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":1.1061},"mars":{"sidereal_longitude":75.88457399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":138.485774,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":34.83407399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":150.459074,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":119.05837400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":352.9361,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":172.9361,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2154,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2508016.770833,"kali_year":5256,"ahargana":1919551.2708,"sun":{"sidereal_longitude":113.4211,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":158.693,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.2719,"elapsed_within_tithi_degrees":9.2719},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.693,"elapsed_within_degrees":12.0263},"yoga":{"number":21,"name":"Siddha","sum_longitude":272.114},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.106,"elongation":45.272},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.106,"opposition_distance":134.728}},"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":"05:49","sunsetLocal":"18:59","solarNoonLocal":"12:24","dayLengthHours":13.176033621488196,"dayLengthDisplay":"13 Hours 10 Mins 34 Secs","nightLengthDisplay":"10 Hours 49 Mins 26 Secs","moonriseLocal":"09:24","moonsetLocal":"21:21","rahuKala":{"name":"Rāhu Kāla","start":"15:42","end":"17:20","startHours":15.691787084342307,"endHours":17.33879128702833,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:45","startHours":9.103770273598208,"endHours":10.750774476284233,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.044782881656282,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.884169713240071,"endHours":9.323370833956345,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.358763269121501,"endHours":6.71012416569452,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.958577558253985,"endHours":12.836979799686532,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.052957385361067,"endHours":4.931359626793613,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:43","end":"05:49","startHours":4.7117590664354765,"endHours":5.809761868226159,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.593784282551624,"endHours":15.47218652398417,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.785795489714356,"endHours":19.185795489714355,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.985795489714356,"endHours":19.534796890609698,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.735795489714356,"endHours":20.485795489714356,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.958577558253985,"endHours":24.83697979968653,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:49","end":"07:27","startHours":5.809761868226159,"endHours":7.456766070912184,"quality":"inauspicious"},{"name":"Udveg","start":"07:27","end":"09:06","startHours":7.456766070912184,"endHours":9.103770273598208,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:45","startHours":9.103770273598208,"endHours":10.750774476284233,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:24","startHours":10.750774476284233,"endHours":12.397778678970258,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.044782881656282,"quality":"auspicious"},{"name":"Kāla","start":"14:03","end":"15:42","startHours":14.044782881656282,"endHours":15.691787084342307,"quality":"inauspicious"},{"name":"Śubha","start":"15:42","end":"17:20","startHours":15.691787084342307,"endHours":17.33879128702833,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"18:59","startHours":17.33879128702833,"endHours":18.985795489714356,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:59","end":"20:20","startHours":18.985795489714356,"endHours":20.338791287028332,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:42","startHours":20.338791287028332,"endHours":21.691787084342305,"quality":"auspicious"},{"name":"Roga","start":"21:42","end":"23:03","startHours":21.691787084342305,"endHours":23.044782881656282,"quality":"inauspicious"},{"name":"Udveg","start":"23:03","end":"00:24","startHours":23.044782881656282,"endHours":24.39777867897026,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"01:45","startHours":24.39777867897026,"endHours":25.750774476284235,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:06","startHours":25.750774476284235,"endHours":27.103770273598208,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:27","startHours":27.103770273598208,"endHours":28.456766070912185,"quality":"auspicious"},{"name":"Kāla","start":"04:27","end":"05:49","startHours":28.456766070912185,"endHours":29.80976186822616,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.809761868226159,"endHours":6.809761868226159,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.809761868226159,"endHours":7.809761868226159,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.809761868226159,"endHours":8.80976186822616,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.80976186822616,"endHours":9.80976186822616,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.80976186822616,"endHours":10.80976186822616,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.80976186822616,"endHours":11.80976186822616,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.80976186822616,"endHours":12.80976186822616,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.80976186822616,"endHours":13.80976186822616,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.80976186822616,"endHours":14.80976186822616,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.80976186822616,"endHours":15.80976186822616,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.80976186822616,"endHours":16.80976186822616,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.80976186822616,"endHours":17.80976186822616,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.80976186822616,"endHours":18.80976186822616,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.80976186822616,"endHours":19.80976186822616,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.80976186822616,"endHours":20.80976186822616,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.80976186822616,"endHours":21.80976186822616,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.80976186822616,"endHours":22.80976186822616,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.80976186822616,"endHours":23.80976186822616,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.80976186822616,"endHours":24.80976186822616,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.80976186822616,"endHours":25.80976186822616,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.80976186822616,"endHours":26.80976186822616,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.80976186822616,"endHours":27.80976186822616,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.80976186822616,"endHours":28.80976186822616,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.80976186822616,"endHours":29.80976186822616,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.686480425949348,"eotMinutes":-4.561520738215509,"ayanamsa":26.0128}},"calendars":{"vikram_samvat":2211,"vikram_samvatsara":"Prabhava","saka_samvat":2076,"saka_samvatsara":"Ānanda","bengali_samvat":1561,"malayalam_era":1330,"nanakshahi_year":685,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","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 Śukla Caturthī · Vikram 2211 Prabhava · Śaka 2076 Ānanda"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"Dedicated festival walk for Aṅgāraka Caturthī (Tuesday Caturthī) · Vināyaka Caturthī (monthly) is not live yet; Maṅgalavāra (Tuesday) — 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 August 13, 2154 CE · Mathurā · Vidhyamitra","description":"August 13, 2154 CE for Mathurā: Śukla Caturthī, sūryodaya 05:49, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2154-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2154-08-13","sa":"https://sa.vidhyamitra.com/city/mathura/2154-08-13","hi":"https://hi.vidhyamitra.com/city/mathura/2154-08-13","x-default":"https://vidhyamitra.com/city/mathura/2154-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T08:10:20.603Z","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":"2026-08-10T08:10:20.603Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T08:10:20.603Z","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"}}}