{"id":"vidhyamitra:day:2086-05-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2086-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-05-13","date_display":"May 13, 2086 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":2086,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483088.770833,"kali_year":5188,"ahargana":1894623.2708,"sun":{"sidereal_longitude":27.5266,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":28.4041,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.8775,"elapsed_within_tithi_degrees":0.8775},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.4041,"elapsed_within_degrees":1.7375},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.9307},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2086,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483088.770833,"ahargana":1894623.2708,"kali_year":5188,"ayanamsa_lahiri":25.0594,"grahas":{"sun":{"sidereal_longitude":27.729906000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":27.32300600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":1.9241},"mars":{"sidereal_longitude":333.48790599999995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":39.36530600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":104.388506,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":349.828606,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":358.507806,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":233.7415,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":53.7415,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2086,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483088.770833,"kali_year":5188,"ahargana":1894623.2708,"sun":{"sidereal_longitude":27.5266,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":28.4041,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.8775,"elapsed_within_tithi_degrees":0.8775},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.4041,"elapsed_within_degrees":1.7375},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.9307},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.924,"elongation":0.877},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.924,"opposition_distance":179.123}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pratipada · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2086-05-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 13, 2086 CE · Vidhyamitra","description":"Vedic pañchāṅga for May 13, 2086 CE: Śukla Pratipada · Kṛttikā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2086-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2086-05-13","sa":"https://sa.vidhyamitra.com/day/2086-05-13","hi":"https://hi.vidhyamitra.com/day/2086-05-13","x-default":"https://vidhyamitra.com/day/2086-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T06:03:41.758Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T06:03:41.758Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}